Huge thanks for responding --
The cordless phones are not cell phones, but indoor household cordless phones -- a five-station panasonic system. Until earlier this year we had land line service; the cell phones plugged into a land-line wall outlet, and the printer-fax (upstairs, and away from the cell phone base) plugged into a wall jack on that same land line.
Now, in place of the land lines, we have a little AT&T box that turns whatever is plugged into it into a cell phone -- that's what the household cordless phones are plugged into now.
I guess what I am really asking is whether there is any attachment or whatever that might turn the fax (i.e., the printer's phone connection) into another item connected to that AT&T box -- ? The AT&T box needs to stay downstairs so that the base unit for the cordless system can plug into it; the printer has to stay upstairs because there's no room for it anywhere else. Maybe something that has one transceiver plugged into the printer, and a second one plugged into the back of the AT&T box? Who knows --
As for the printer itself -- it is, as you'd guessed, an "8500 A910"; I could not find any model number indicating a, g, or n (the serial number begins with "C", but I'm guessing that's not it) --
Again, serious thanks -- the situation is one of life's smaller problems, after all, but...
Cheers --
mj