Taking yet a further look (see "Stats (1)" for a preliminary peek and "Stats (2)" for a deeper one) at a ChessBase Opening Report from my Jerome Gambit (1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+) database requires simply continuing to advancing along the move order.
Thus: 1.e4 e5 2.Nf3 Nc6 3.Bc4 Bc5 4.Bxf7+ Kxf7 5.Nxe5+ Nxe5 6.Qh5+ will dig deeper.
According to the Opening Report, White scores "above average" (59%), with 276 wins (57%), 18 draws (4%) and 192 losses (40%). White wins are "shorter than average" (37 moves), Black's wins are "shorter than average" (33 moves) and draws are "short" (30 moves).
Looking at Moves and Plans for Black, 6...Ke6 appeared in 229 games, where Black scored "below average" (38%). Recommended for White is 7.f4, while in the Critical Line White scored only 36%: 7...d6 8.fxe5 dxe5 9.Qh3+ Ke7 10.Qg3.
In 117 games Black played the alternative, 6...Ng6, scoring "below average" (41%). Recommended for White is 7.Qxc5. The Critical Line is then 7...Nf6, against which White has scored only 29%.
In 78 games Black played 6...g6, scoring "below average" (38%). Recommended for White is 7.Qxe5, although in the Critical Line 7...d6 8.Qxh8 Qh4 9.0-0 Nf6 10.c3 White has scored 0%.
An important 6th move alternative for Black, played in 53 games, is 6...Kf8, which scored well (63%). Recommended for White is 7.Qxe5, although the Critical Line, again, is daunting for the first player, as after 7...Qe7 8.Qf4+ White scored 19%.
Finally, Black infrequently played 6...Kf6 (3 games) and scored "miserably" (0%) after White's recommended 7.Qf5+.
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