I first decided to go with the stats, trying to jog my memory on when they played for us during their careers and how effective they were, looking at specific skills that might have been reflected in the stats (obviously Victor wasn't stealing bases and Mike Heath wasn't a power hitter).
I wasn't very satisfied, and then looked for your clue, which was fairly apparent. My initial and final lists have a few similarities - but I'd be lying if I said my memory was any good.
A really fun fan exercise. Thanks again.