For some sites, when you login, forefox won’t prompt you to save passwords. This is because in the html form, input tag have autocomplete=”off”
I used to login to softlayer private network everyday. To get password saved by firefox, i go to the login page, then with firebug edited the page, removed
autocomplete="off"
Now on login, firefox prompted to save password. If password is saved, frefox won’t respect autocomplete.