Hi Sean
To hopefully assist on what remains and by who the individual holes were routed, having reviewed at length historic maps etc.
Chronologically James Braid, respectfully, extended the 9 (Barlow & Turle, from 1897) to 18 between 1921-24.
Braid's new holes were the on the original numbering: 2nd, 6th, 7th, 8th, 10th, 11th, 12th, 13th & 14th
Then "Colt's Corner" of three new holes (the current 10th, 11th & 12th) was added on a new section of land in 1933.
Braid's short Par-3 10th was the only Braid hole removed by Colt(1933), along with 2 of the Barlow & Turle Holes (original 15th & 16th)
So on the current numbering 8 of Braid's 9 Holes remain: 2nd, 6th, 7th, 8th, 13th(prev. 11), 14th(prev. 12), 15th(prev. 13), & 16th(prev.14).
Seven of the original Barlow & Turle originals (1897) remain: On current numbering: 1st, 3rd, 4th (but now dog-leg L-R from new tee), 5th, 9th, 17th & 18th.
So on the 18 current holes; 3x are Colt, 7x are Barlow & Turle and 8x are Braid.
1st - Barlow & Turle
2nd - Braid
3rd - Barlow & Turle
4th - Barlow & Turle
5th - Barlow & Turle
6th - Braid
7th - Braid (A "Quartered Green")
8th - Braid
9th - Barlow & Turle
10th - Colt
11th - Colt
12th - Colt
13th - Braid
14th - Braid
15th - Braid
16th - Braid
17th - Barlow & Turle
18th - Barlow & Turle
Cheers!
Simon