Here's Harding's articles:
http://www.chesscafe.com/text/kibitz78.pdf http://www.chesscafe.com/text/kibitz79.pdf I've checked over Gallagher's NCO line with the assistance of Fritz 10, and think there may be improvements for White over it, but nothing particularly inspiring. My analysis of the Allgaier from tonight's survey (which probably has many holes) runs:
A. 7 d4 f3 (7...d5!?) 8 Bc4+ d5 9 Bxd5+ Kg7 10 gxf3 Nf6 11 Bc4 (11 Nc3 Bb4 -/+ Gallagher, e.g. 12 Bc4 c5!) 11...c5 12 e5 Nc6 =+.
B. 7 Bc4+ d5 8 Bxd5+ Kg7 (8...Ke7 9 d4 gives White sufficient compensation) 9 Bxb7 is Fritz's suggestion (9 d4 f3! =+, transposes to line A) 9...Bxb7 (9...f3 10 Bxc8 f2+ 11 Kxf2 Qxc8 12 d4 with compensation) 10 Qxg4+ Kh7 (10...Kf7 11 Qh5+ Ke6 12 Qf5+ Kd6 13 d4 with compensation) 11 Qf5+ Kg7 12 Qg4+, with a repetition draw.
C. 7 Nc3
C1. 7...Bb4 8 Bc4+ d5 9 Nxd5 Be6 10 Qe2 with compensation.
C2. After 7...Nf6, Harding's main line is 8 d4 d5 9 Bxf4 Bb4 10 Bd3 dxe4 11 Bc4+ Kg7 12 0-0 Nc6 13 d5, which is unclear. This is one of those lines where Fritz initially thinks Black is much better, but push it down its suggested lines, and the evaluation drops substantially.
C3. 7...d5 is the one move that might be better than 7...Nc6. 8 d4 (8 Nxd5 Nf6 9 Nxf4 Qd4 10 d3 Bc5 -/+) 8...f3 9 Nxd5 Nf6 10 Nxf6 Qxf6 11 gxf3 Qxf3 12 Bc4+ Kg7 13 Qxf3 gxf3 =+.
C4. 7...Nc6 and now:
C4a. 8 Bc4+ d5 9 Bxd5+ Kg7 10 d4 Bd6 (10...f3 11 gxf3 Be7 12 Be3 Bxh4+ 13 Kd2 is unclear, 10...Nf6 11 Bxf4 with compensation) 11 Bxc6+ (11 e5 Nxe5 12 dxe5 Bxe5 leaves Black a pawn up and destroys White's centre) 11...bxc6 and I think Black may be slightly better, though the position is still murky.
C4b. 8 d4 d5 (8...f3 is probably best met by 9 Be3 with another unclear position, rather than 9 Bc4+ which tends to transpose to line C4a)
C4b1. 9 Bxf4 Bb4 is good for Black, but I think White's two move-9 alternatives are worth another look:
C4b2. 9 exd5 Qe7+ (9...Nce7 10 Bxf4 Ng6 11 Be5 Bg7 12 Qe2 unclear) 10 Kf2 Ne5 =+
C4b3. 9 Nxd5 Nf6 (9...f3 10 gxf3 Nge7 11 Bc4 Nxd5 is considered good for Black according to Harding, but White seems fine to me: 12 Bxd5+ Kg7 13 Be3 with compensation) 10 Bxf4 is extremely messy.
In conclusion, unless I've missed something (which I might well have done), White's best move in the Allgaier seems to be 7 Bc4+ with sufficient compensation, though Black can force a quick draw in that line. 7 Nc3 is best met by 7...d5 with an edge for Black, while the Hampe-Allgaier with 7...Nc6 looks unclear. It also appears that MNb is right about 8 d4 with the intention of queenside castling, rather than 8 Bc4+, being White's best approach in the Hampe-Allgaier lines.