I finally had a chance to try another transistor. This one was a through hole PNP from Radio Shack. This time the board worked as it should. Now I know that my original choice of transistor (BC857AT) was at fault, although I don't know why. I think the Radio Shack one is too big to fit, so I will try the MMBT3906DICT-ND from Digikey. I assume that will do it since several of you have reported success with it.

Bottom line, don't use the BC857AT; it doesn't work.

Stu