When the Jerome Gambit player has his opponent on the run, he should finish him off quickly. The following game is a good example.
standard, FICS, 2014
1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+
4...Kxf7 5.Nxe5+ Nxe5 6.Qh5+ Ke6 7.Qf5+
Kd6 8.f4 Nh6
Attacking White's Queen might ge a good idea in other lines of the Jerome, but here it only drives Her Majesty into action that she was already contemplating.
After White's 8th move, the computer says he is "objectively" lost. After Black's 8th move, the computer says he is "objectively" lost. White must act quickly to take advantage of his advantage.
9.Qxe5+ Kc6 10.Qd5+
An improvement over 10.d4 which still turned out okay, thanks to a little help: 10..Ng4? 11.Qxc5 checkmate, UNPREDICTABLE - acuriel, FICS, 2009.
The text is an improvement over 11.d4, seen in perrypawnpusher - hotintheshade, blitz, FICS, 2009 (1-0, 46) and senseidea - Liosikne, FICS, 2012 (1-0, 15).
Best according to Stockfish 6 is 11.Qb3+!?, which is worth exploring, e.g. 11...Ka6 (11...Kc6 12.Nc3 d5 13.Qb5+ Kd6 14.e5+ Ke6 15.Qxc5) 12.Qa4+ Kb6 13.b4 d6 (13...Bd4 14.Qa5+ Kc6 15.Qd5+ Kb6 16.a4 Bf2+ 17.Kxf2 Qh4+ 18.g3 Ng4+ 19.Kg1 Qxh2+ 20.Rxh2 a5 21.Qc5+ Ka6 22.Qxa5#; 13...Bf2+ 14.Kxf2 a6 15.Bb2; 13...a6 14.bxc5+ Ka7 15.Nc3; 13...Be7 14.Qa5+ Kc6 15.Nc3 a6 16.b5+ Kd6 17.Qb4+ c5 18.bxc6+ Kxc6 19.Qc4+ Kb6 20.Qd4+ Kc7 21.Qxg7 Nf5 22.Nd5+ Kb8 23.exf5) 14.bxc5+ dxc5 15.Bb2.
This distraction does not work.
Neither does 11...d6 12.Qb3+ (12.Na4+?! was perrypawnpusher - Ondras, blitz, FICS, 2012 [1-0, 31]) Bb4 13.Qxb4+ Ka6 14.Qb5 checkmate.
12.g3 Qf6 13.Na4+ Ka6 14.Nxc5+ Kb5 15.a4+ Kb6 16.a5+ Black resigned