Well, it turns out that the FTP program is still around, updated with a new icon for Mac OSX. Furthermore, the fellow who created the software, Jim Matthews, saw my post. He has kindly provided me with a plush toy of the new, improved Fetch.
The new dog is every bit as cuddly as he looks. :)
I haven't tried out modern Fetch yet, though it looks quite spiffy from the guided tour. In a year or two when our Solaris machines become obsolete, we're probably going to move to Macs. Then I'll very likely become a Fetch fan once again.