Serial number is V 727806, which I understand is late 1944 or early 1945. It has nickle finish and bone grips, which may not be factory. Question is, What is the purpose of seeking a factory letter?
Another LGS Victory
Serial: V373156
Caliber: .38 Smith & Wesson
Barrel: 5"
Finish: Reblued
Other features: "US Property GHD" marked on the left side of the top strap. "P" stamped on butt. No British markings noted.
That one shipped in mid-1943. Have you checked to determine if the chambers have been bored to accept .38 Special cartridges? Being reblued is definitely not a good sign. If you have not bought it, don't - unless it is priced cheaply.
Here's mine:
Serial number: V518164
Caliber: .38 Special
Barrel: 4"
Markings include: "U S Property G H D" on left side of topstrap
"Made in USA" on right side of frame
Has lanyard ring
Grips have black or deep blue (?) finish mostly worn away