Good advice coreplayer2,
I actually did install the firefox_getLatest.tcz before remastering.
Tried to go back to the Apps info before writing this post (to try and sound informed).
The Dell has no trouble getting online now (thanks to the help of you and your colleagues).
But just trying to open Apps, locked up the screen until the computer shut itself down (no browser opened).
Usually, I run off read only DVD live systems (no installed hard drives).
Optical drives seem to be going out-of-style.
That is the motivation to try to go to an OS running in RAM from a USB.
The difficulty is that if I leave the USB inserted after I get online, then problems arise.
Tinycore is not the problem; Tinycore is a possible solution.
It's just a matter of finding away to run an OS that is appropriate to one's personal security needs.