Thanks, all.
I found the online repair manual
here.
Currently working through the instructions to remove the inner drum; the agitator is on there
good.
I may try the gum suggestion, since I've removed the tub cover and gasket, now, and I have a gap between the inner and outer tubs. Was going to try a telescoping magnet, but it appears that quarters don't contain ferrous metal (or enough ferrous metal to be attractive to my magnet).