Beat Little Chess Partner!

Today I was playing against the Little Chess Partner on hard and was able to arrive at the following position.  It seems like there must be a mate in here somewhere, but I couldn't find it and was vanquished.  Can anyone suceed where I failed?

1.Nh4 seems to win relatively easily (the fork threat and discovered checks are nasty), but I can't see a forced mate here.

Nh4 was my move, followed by Qe7 from black.  Unfortunately it wasn't so easy for me after that.  :(

I found that blunders are much more potent than discoveries and forks, just not in a positive way.  Oh well...  Thanks for giving it a look Natalia.

 I don't get you, after Nh4( I think only good move) how  did black respond?

After Qe7, Nb6+ and you win the queen.

 of course, but i don't think that any machine set on hard is that stupid...

Correction.  My mistake.  I played Nxh6.  But, I agree, Nh4 was the superior move. 

Btw, during the Nanjing tournament I couldn't abstain from calling it "Little Chess Patzer". Hope nobody was offended.

I thought he seemed a little listless last time I played him.  Aloof and generally unresponsive -- all he did ways quietly make his moves.  Perhaps your slight is the reason.