Helping people with computers... one answer at a time.
Web browsers include features that will remember your login ID and password for various sites for you. We'll look at how that works in Firefox.
How do I eliminate my email/password from automatically showing up on our computer for Facebook? I have searched their help answers. Could it have something to do with our Firefox settings?
Yep. It's all about Firefox.
Actually, this applies to not only Firefox, but most other browsers as well, and not just to Facebook, but many other sites, too.
You've configured your browser to be helpful.
If that's not the kind of help that you want, we can change that.
What you're seeing is an option in most browsers that remembers logins and password for you. When you visit the site for which that login and password apply, the browser automatically fills it in for you:
It can be somewhat handy as one way to keep and manage a lot of passwords to many different sites.
As we'll see below, it can also be a security risk.
Click the Firefox menu, then click Options, and again click Options:
In the resulting dialog, click the Security tab:
Assuming that you want Firefox to stop remembering all password, just uncheck the Remember passwords for sites option.
If you want Firefox to remember some but not all, it supports exceptions as you can see - so leave this checked for now.
Next, we need to tell Firefox to forget what it's remembered so far.
Click the Saved Passwords ... button:
Here, you can see the list of web sites for which Firefox has saved passwords.
You can either:
Click Remove All to clear the entire list and have Firefox forget everything.
Click an individual entry in the list and click Remove to remove only that entry.
If you elect to go the later route, note that Facebook has two entries here. Http and https URLs are considered two separate sites and may each have a copy of your login ID and password. If you want to erase Facebook from this list, you'll want to remove both of them.
As I alluded above, you can let Firefox remember some, but not all, of your passwords for you. You do that by leaving Remember passwords for sites checked and then logging in to one of your password-protected sites that is not already in Firefox's memory. After you login successfully, Firefox will ask:
You can select:
Remember Password to have Firefox remember your login ID and password for you.
Never Remember Password for This Site places this site in the Exceptions list. Firefox will no longer try to save the login ID and password for this site. (Remember that you may need to do this again if you login using both http and https because Firefox sees those as different.)
Not Now will cause Firefox not to remember the password this time, but it will ask you again the next time that you login to this site.
Have a look at that saved passwords dialog again:
Click Show Passwords and click Yes when it asks if you're sure.
There they are. Your passwords for anyone to see.
There are several approaches for mitigating this vulnerability. If you do nothing else, go back to the Security Options dialog and select the checkbox to Use a master password. Do that so that a master password would be required to access any of your remembered passwords.
Is it safe to let my browser remember passwords? has more thoughts on letting your browser remember passwords and I encourage you to read it.