There's no name for it, as far as I can tell. The Center game and the Danish gambit follow 2. P-Q4 with ...PxP. Game Explorer here, which is encyclopedic, doesn't list 2...QN-B3 as any named line, nor does Horowitz's Chess Openings: Theory and Practice. There are few master games in the database with this line, either, primarily because it's inferior play, as you've noticed.
1. e4 e5 2. d4 Nc6?
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Feb 21, 2009
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#3
The most common move-order creating this position is 1 e4 Nc6 2 d4 e5. I play it often as Black, and have a very good record with it in blitz.
black won ! :)
I often play this as white, in an attempt to get a Danish Gambit going (I have been experimenting with this opening lately) and find that some people reply with 2... Nc6 to which I respond 3. d5 forcing the knight back or to the side. (3... Nd4 which seems good at first loses the knight after 4. c3)
Is there a name for this response and some good main lines, or do people just play it as a natural move because it doesn't seem very good to me: it opens up lines for my bishops, I have good advanced pawn structure and even though I've traded developing a pawn for their developing a knight, their knight isn't placed in the best place anyway.