Research letters (from both the PGCA and LCSCA) will frequently document the original purchaser. Many Live Bird and Inanimate Target guns were however shipped to "Tuck" Tucker or Capt. DuBray (Parker Bros.), Harvey McMurchy (Hunter Arms), or Col. A.G. Courtney (Remington Arms) so we don't know who actually ordered the gun.
If someone has a name, it is easy to check for him in the Sporting Life archives.
https://digital.la84.org/digital/collection/p17103coll17/search

In Feb. 1898, C.W. Budd received on consignment a Parker $400 AAH Pigeon Gun SN 87449 with 30” Whitworth barrels F/F and 2 7/8” chambers. LOP was 14” and DAH 2 1/4” with a pistol grip stock and no safety. It weighed 7# 12 oz.

Scroll down here about 1/4 for a summary from November 23, 1901, The Sportsmen’s Review, in an article written by “Gaucho” (Captain A.W. duBray, Parker Brothers shooting professional & traveling salesman from 1884 to 1926) entitled, “A Few Remarks on Some Celebrated Guns.” DuBray lists some prominent shooters and the dimensions of the guns they used. Courtesy of John Davis
https://docs.google.com/document/d/1c7UkkNyMTZ9NAztILpzjSLKvgIneAw5i7eqkZ3d3Eno/preview