The short answer is - you can't.

There are 2 aspects to your problem: the keyring password and the user
(login) password.

When keyring first appears asking for a password to be set you can just
click on OK with the field blank. It will complain about the security risk
but still let you use it. After that always click on "always allow" when it
asks if some app should be allowed to access keyring. It wont ask again for
that app. If you can find the keyring app it gives you the option of
changing this password and you should be able to delete anything there and
save it as a blank password.

As for the user or login password, I don't believe you can install Ubuntu
without entering one. However, there is an option to log in automatically
in the installation. If you missed that you can enable it somewhere in the
system settings. I'm a Kubuntu user so apart from the fact that you must
have it I can't help you find it. You will still need that password to
install anything or do updates. No way around that as far as I know.

If you Google "Ubuntu keyring" and similar phrases you will find a lot of
help and 99% of the answers you need. I've got a couple of books on Linux
but most of what I know came from searches... a word to the wise.

Many thanks for writing back regarding Passwords and Keys,I was
somewhat confused about the Automatic Log in and the need for a Password to
change something in the OS like adding software updates etc thanks to you
thats clearer now.With regard to Passwords and Keyring situation,I did do
some research as I couldn't find any way to access Password and Keyring
Management as its missing in XUBUNTU,I did find a reference to
Seahorse[which is the Password and Key Management programme ,I in fact had
to access this through the Terminal and now Password and Keys are shown in
SETTINGS.Unfortunately when I load Chrome and get the request for a
password,I do click OK and leave the field blank,but there isn't a field
where I can "always allow" apps,as its greyed out?Any ideas on this?Finally
this is a bit off subject but my wife has the same Motorola Xoom as
yourself,but with Honeycombe 3.2 installed,we are still waiting for the
Upgrade to ICE Cream Sandwich 4 in the UK,what is your opinion of it?and is
it worth upgrading as Honeycombe appears quite stable...

Sorry, I hadn't read your mail carefully enough. The password asked
for when Chrome starts is to log you into your Gmail/Google account.
This may seem like an annoyance but if and when you have a Google
account it is a major convenience as it allows you to synchronize all
your settings on any Chrome or Chromium Browser, anywhere you go. All
your bookmarks, personal preferences etc. are automatically retrieved.
That's a great feature, as long as you are a Google user. I am, but
you may not be. It is quite possible to create a Gmail account and
never use it, if you don't like Gmail. Personally I find it very handy
and I've never lost an email in the 5 years I've been with them. Prior
to that it happened from time to time and I'll never be able to locate
a few people that I've lost touch with. Never again!

If you are still interested in automatic logins here is how to access
and enable it. Note that I didn't install anything extra to find this.

1. Click on the mouse in the upper left corner of your screen.
2. Choose System from the drop down menu.
3. Choose Users and Groups.
4. Choose your username.
5. Click on Password.
6. Click on Change.
7. Click on last Checkbox, "Don't ask for Password".
8. Click OK.
9. Reboot to test it out.

Keyring access is definite in the (hidden) menus. I managed to find it
and there is a checkbox to add it to the menu. It comes under "Other"
on my system. However, it crashed every time I tried to use it. I have
176 updates to install, so hopefully that will make it work. It
doesn't matter if you have a Google account and enter it when Gmail
starts.

As for updating your wife's Xoom to ICS, I would say it's a good idea.
The changes are mostly "under the hood" and since I've been using ADW
Launcher for a long time I'm not much aware of the differences.
Generally I alway upgrade because a lot of the benefit is increased
stability and to a lesser extent new features. I'd definitely go for
it when it comes to your part of the world. I've even ordered the new
Google Nexus 7 tablet, partly because it comes with "Jelly Bean" but
mostly because it has a quad core CPU clocked at 20% faster than my
Xoom. I like the lighter weight as the Xoom is tiring to hold and I
think the slightly smaller screen will not be a problem.

I'm sending this from my newly installed XUBUNTU, which seems to be
both speedy and useful. I hope you enjoy using it!

Thank you for your reply,and I note all that you say,BUT.....
The Pop UP Screen that i am seeing after opening Google Chrome says the
following ie
UNLOCK KEYRING
Enter Password for Keyring to Unlock
An Application wants to access access the KEYRING DEFAULT

There are four choices to modify the keyring password procedure ie

1 Automatically unlock the Keyring whenever i'm logged in [But this option
is "greyed Out" so not available for some reason?
2 Lock the keyring when I log out
3 Lock the key ring after ***** minutes
4 Lock the keyring if idle for ***** minutes

So its definitely not Google asking me to sign in as I already have a
Google Email Account but agree with your sentiments about the quality of
the e mail product.

Regarding Automatic Log ins..I looked at your suggestion in System,Users
and Groups etc but advise that I am listed as already having a
CUSTOM..Account Type ie Password not asked for at Log In..
I think that you may be confusing this with SEAHORSE[Passwords and Keys]
application FOR THE KEYRING which wasn't even installed as DEFAULT in
XUBUNTU 11.10. and which I had to Install via the TERMINAL to access
Passwords and Keys Default Keyring Settings.I then UPGRADED TO 12.04 so
don't know whether Passwords &Keys for KEYRING is Installed by DEFAULT in
12.04?

So really i'm back to "square one" as it were,though I have had a look on
the UBUNTU FORUM and surprisingly I am not the only person that appears to
be having this problem,as i'm sure i'm doing everything right but there is
a problem with Default Keyring in my copy of XUBUNTU..

I will look into this further and get back to you.

I have this happen in Kubuntu. The keyring involved is KDE Wallet. It is
for the storage of passwords and encryption keys. Once it is opened and the
keyring password is given then it will not ask for the keyring again until
you logout. I do not use XFCE so can't tell what the keyring service is. In
KDE you can shut off Wallet in the settings and the nag goes away. It is in
System Settings/ Account Details. I am not sure what keyring service in
XFCE is, but GNOME has one. I suspect that it is the gnome-keyring.

docs.xfce.org/xfce/xfce4-session/preferences

I would check to see if the Launch GNOME Services on Startup box is checked
and try unchecking it. See the above link to find that in the XFCE
Preferences.

I would note that keyring managers are important because they store
encryption keys and are useful in backing up and restoring passwords. To
each his own. :)

Perhaps this will throw some light on the issue. I'm out of my depth here,
not being an Xubuntu user.

https://bugs.launchpad.net/ubuntu/+source/xubuntu-default-settings/+bug/1008993

I have learned
a lot in a short period of time and have also been able to sort out the
Gnome issue with the Keyring password.I have in fact now changed to the
xfce desktop which I prefer as its easier for me to use..Kind Regards to
you both.

The keyring is a system thing not a browser thing. I know this sounds
strange but try starting your browser as root i.e. start the browser
from the terminal as su. You should then have privilege to change the
way the keyring works and the options should not be grayed out.

I would not do anything else with the browser as su but to set the
keyring settings then close out the browser and close the terminal then
restart the browser and see what happens.

Please note that su is something to use sparingly. don't make a habit of
using root privileges unless you need to. Other ways exist to do this
but require more time learning than I desire to spend. I think Roy gave
you another way that should be used first to set your machine up for
what you want. I just look at setting up a machine as a su thing so
think nothing of doing it that way.

Chrome asks for my keyring, but no other browser does, including Rekonq and
Konqueror which are part of KDE. I have every possible browser installed.
However, once the Wallet password is entered you do not need to enter it
again. You can turn that off in the KDE Wallet settings. It may not be a
browser thing, but that is the default setting for Chrome or Chromium for
some reason. Also Choqok and a few other applications to do the same thing.