>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.