The Jerome Gambit is a strange opening. White gets what he wants by giving Black a winning game. Black often fights to reach an even game, by giving up his advantage. The winner is the one who makes sense of this, and wins in the end.
Wall,B - Guest75785
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.d4 Nxd4
I have to say that I am not very familiar with this "modern" (no 5.Nxe5) Jerome Gambit variation, even though I discovered that there are over 530 games in The Database with this position, including games by Jerome Gambit regulars like Darrenshome, DragonTail, drumme, ItsAllBullCheck, and yorgos.
Of course, Bill Wall is willing to experiment just about any game.
6.Nxe5+ Kf8 7.Be3 Ne6 8.Qh5 Qe7
Bill notes 8...Qf6 9.Nxd7+ Bxd7 10.Bxc5+ Ne7 11.Nc3 Nxc5 12.Qxc5 Qb6; not 8...g6? 9.Nxg6+.
White has equalized. It is important to remember the old adage: In the Jerome Gambit, when White has equalized, he has the advantage.
10.Ng6+ hxg6 11.Qxh8 Bxe3 12.fxe3 Ng5
Bill prefers 12...Nd8.
13.Rf1+ Nf7 14.h4 Qe5
As is frequently the case, 14...d5! is the move.
15.0-0-0 Qh5 16.Rxf7+ Kxf7
Not 16...Ke8?? 17.Qxg8#
17.Rf1+ Nf6 18.Qxh5 gxh5 19.e5 d5 20.exf6 gxf6
Black - or is it White? - has made it through the opening and the middle game and now has a roughly even endgame.
Or 21...Be6 22.exd5 cxd5 23.Nb5
22.Ne2 c5 23.e5 f5 24.Nf4 Be6 25.Nxh5 Rh8 26.g4
Better 26...Rh6 or 26...b5.
27.Nf4+ Kf7 28.gxf5 Bxf5 29.h5 Re8
This is a mistake that turns a position with a lot of drawing potential into a loss. The "Jerome pawns" can no longer be contained.
30...Ke6 31.Nxc5+ Kd5
Not 31...Kxe5? 32.Re1+
32.Rxf5 Kxc5 33.Rf7 Rxe5 34.h6 Rh5 35.h7 Kc6
36.Kd2 Rh3 37.Ke2 a5 38.Kf2 b5 39.Kg2 Rh5 40.Kg3 b4 41.Kg4 Rh2 42.Kg5 Black resigned