1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Ke7
This is how my most recent opponent played. Declining the offer of the Bishop is rare, and doing so by moving the King to e7, instead of f8, is even more rare.
5.Bxg8
This was a suggestion from my last post, and it should be considered, if only because it "solves" the issue of where, otherwise, to retreat the Bishop.
5...Qxg8
The correct recapture, but only seen in 1 of 8 games in The Database. The problem with 5...Rxg8, seen as early as Drewbear - AAlekhine, Jerome Gambit thematic tournament, ChessWorld.net, 2007 (1-0, 33) is that White replies 6.d4, threatening to skewer Black's King and Queen with 7.Bg5+, thus winning a piece.
Alas, only two players responded correctly to 5...Rxg8 - Drewbear, in 2007, and Bill Wall, in 2015 - the latter, the game ended after 10 moves.
As for the text, I have only one game to guide me, a lightning game from 2008. We can follow that for a bit.
6.d4
This is kind of funny. Stockfish 10 prefers 6.Nc3 d6 7.Nd5+ Kd8 8.d4 exd4 9.Bg5+ Kd7 10.0-0, giving up a pawn to do - what? He develops his Bishop, forcing Black's King to block Black's light-squared Bishop, which, in turn, blocks Black's Rook... Certainly a Jerome Gambit strategy if ever there was one.
6...exd4
7.Bg5+
Striking at the King, although, with the Black Queen at g8, the move is not as strong. Probably 7.c3 was better, when Black could try 7...dxc3 or 7...d5. White would have the safer King, but he would be playing quite a different game than the usual Jerome Gambit.
7...Kd8 8.0-0
Reasonable, although the computer recommends 8.c3.
8...Be7
Simply allows White to recover his pawn.
9.Bf4
Fine, but 9.Bxe7 Kxe7 10.Nxd4 was hard to argue with.
9...Qf7
Now a tactical skirmish advanced White's game.
10.Bxc7 d6 11.Nxd4 Kd7 12.Nxc6 Kxc7 13.Nxe7 Qxe7 14.Re1 Rf8
Here, the clock seemed to step in.
15.e5 Qh4 16.Qe2
Instead, 16.Qxd6 was checkmate, but, remember, this was a bullet game. White won at move 32.




























7.f4 Qf6 

11...Bd4 is not a "bad" alternative, but iltimately failed against White's active play in blackburne - drewbear, chessworld, 2008: 12.Rf1 Ke6 13.Nb5 Bb6 14.Bf4 d6 15.0-0-0 a6 16.Nc3 Bd7 17.Rf3 Rhf8 18.Rdf1 Ng4 19.h3 g5 20.Bxg5 Rxf3 21.Rxf3 Ne5 22.Rf6+ Ke7 23.Nd5+ Ke8 24.Rh6 Kf7 25.Nf6 Be8 26.Nxh7 Kg7 27.Nf6 Bg6 28.Nd5 Rf8 29.Ne7 Nf7 30.Rxg6+ Kh7 31.Bf6 Ne5 32.Rg7+ Kh6 33.Nf5+ Kh5 34.g4+ Black resigned