Found the problem! Sure enough, it was the pin that holds the driven shaft to the pump "vane" (if that's the right word) which had sheared, so the shaft turned but the pump did not. I could probably just replace the pin, but if a whole new pump is not too pricey, I'll replace the whole thing in case there was any unseen damage from the end of the pin grinding around in the pump before it sheared off.
Thanks All, for the advice and encouragement! Pulling the front off wasn't too bad, other than the one lone stud that went through the backing plate to a nut that was very hidden behind the hydraulic pump!