Remember Password bookmarklet:
https://www.squarefree.com/bookmarklets/forms.html#remember_password

Just drag that Bookmarklet in to your bookmarks, toolbar or drop-down list, and click that Bookmarklet like you would click on a bookmark before you you submit your login to the website.

See also:

• http://kb.mozillazine.org/User_name_and_password_not_remembered

• Saved Password Editor: https://addons.mozilla.org/firefox/addon/saved-password-editor/

cor-el:

I have and use the addon (https://addons.mozilla.org/firefox/addon/saved-password-editor/). It is useful for getting the login data remenbered, but does not get it used to fill in the form.

the-edmeister:

You didn't read my post. I said:

       The user name and password are correct in the
       "Saved Passwords" file.

The problem is not getting the login data remembered, it is getting it used to fill in the form.

Firefox won't autofill names and passwords if the the site uses autocomplete=off

You can make Firefox store the name and password, but you have to double-click in the name field to get the drop down list and select the name from it.

cor-el:

Hmmm. There is at least one site for which this doesn't work, https://www.chase.com/ChaseCreditCard.html. Although it uses 'autocomplete="off"', there must be some other mechanism at work. Thanks for your help. I need to do some research before I can make a reasonable determination as to whether the autocomplete="off" problem is solved.

Firefox doesn't like the way that the three forms of that login section are coded.

They are coded in between TR elements of a table and that causes Firefox to close each form tag, so the input fields are not in the forms according to the DOM Inspector and if you look at the "View Selection Source" (generated) source.
All the three forms have autocomplete=off, but the individual input fields haven't.
I have no idea what effect this has on the password manager.

Thank you cor-el. I think this is as close to a solution as it is possible for me to get with FF 8 at present, but for the time being I have gone back to 3.6.17, where with the addon almost everything works just as I want it to.