Tsk, tsk, watch your typos. It should be:
Qe7+
Kb8
Qb7
The game could have ended in stalemate if things progressed as follows after I moved my king:
Qc8
Pxg2
Kxg2 = stalemate
For some reason I wasn't even thinking that you would just move your queen to e7, but I guess that was the most obvious way to go.
Well, that was fun. What army/armies do you want to play with next?