Who was the Wallace that Wallace's Rule of Nines was named after?

Dr. A.B. Wallace, a Scottish surgeon who practiced at Bangour General
Hospital, near Edinburgh, introduced the "Rule of Nines" in an article
published in the British medical journal "Lancet" in 1951:

"For patients over the age of 16 years the 'Rule of Nines' (Wallace
1951) indicates the percentage of TBSA accounted for by various parts
of the body. Nine per cent for the head and each arm, 18 per cent each
for lower limbs and front and back of the trunk, and 1 per cent for
the perineal region...

Wallace AB (1951) The exposure treatment of burns. Lancet. 1, 501."

Royal College of Nursing
http://www.nursing-standard.co.uk/archives/vol12-49/vol12w49p4752.pdf
 
NOTE: The file linked above is in .pdf format. You need to have Adobe
Acrobat Reader software installed on your computer in order to view
.pdf files. If you do not already have this software, a free download
is available here:
  
Adobe Acrobat Reader 
http://www.adobe.com/products/acrobat/readstep2.html 
 
More on A.B. Wallace:

"The Plastic Surgery Unit for the South East of Scotland (which
included the care of patients with burns) had its origin nearly 60
years ago. Mr A.B. Wallace took a considerable interest in burns and
was responsible for achieving a world-wide reputation for himself and
burn care in Bangour."

Online Journal of the Royal College of Surgeons of Edinburgh
http://www.rcsed.ac.uk/journal/vol43_1/4310017.htm

A.B. Wallace was the first Secretary General of the International
Society for Burn Injuries:

"On behalf of the International Society for Burn Injuries (ISBI),
welcome to our web site.

The ISBI is a nonprofit organization, founded in Edinburgh, Scotland
in 1965, after the first Secretary General, Dr. A. B. Wallace stated:

"The delegates of the Edinburgh Burn Congress aim to set up a
permanent organization in the hope of reducing the incidence of this
major scourge, as well as improving patient care, especially in
developing countries."

International Society for Burn Injuries
http://www.worldburn.org/presmssg.htm

Search terms used:

"rule of nines"
"ab wallace"
"wallace ab"
"edinburgh"
"bangour"

My search strategy was greatly simplified by an odd coincidence: Dr.
A.B. Wallace was my paternal grandfather's first cousin! It's a small
world.

If anything I've said is unclear, please request clarification; I'll
be glad to offer further assistance before you rate my answer.

Best wishes,
pinkfreud

This answer was much more than I expected. And it was indeed a lucky
coincidence!!! I found none of this information in my own search. I
will use this service again. Thank you so much.

Many thanks for the five-star rating and the generous tip!

~pinkfreud