>>It's been the same for a while now, regardless of exact FF version.
>>
>>You can get the latest version by hitting the Alt key to bring up the FF menu, then Help...About FireFox. That will check for new versions.
>
>Yes, this is what I have done. When I do this it says 32.0.3 and that it is up to date.
>
>I still do not understand what would make this situation happen on specific locations only.
>
>Maybe Firefox also needs to have a checkup on updating the Root Certificates when it becomes corrupted.

A wild guess -- perhaps the time and date on the workstation are off by a large enough amount that it's playing havoc with autnetication? I've seen on more than one situation where on a computer a person was getting all sorts of warnings with certifications being expired or not being activated yet. After a bit of futzing around to correct the problem, I'd noticed the date & time were off. Trying to synch up with time server wouldn't work. Manually updating the date and time finally corrected both the certificate issues as well as the time resynch.