I am so impressed by everyone's efforts to help. I even received some help offers via PM.
Yes, I used dial-up on the old machine, right up to 2008! The free dial-up service is still available, but I'm heeding everyone's warnings about modern malware, and won't attempt it. The photo files are almost 2GB and when I tried uploading via dial-up back in 08, the upload just kept crashing.
I did back up the files on zip drives until there got to be too many bytes
And then the new PC wouldn't accept the old zip drives, nor would the library computers.
So, as you can see, I did try a lot of things before telling my woeful tale to the forum. I have been a bit afraid of removing the hard drive, but with the detailed instructions on this thread and on Youtube, I will attempt it.
And, I'll report back.
Amethyst