This is the first mention I found in Sporting Life of the Star Gun Club. No hits for your GGf or shoot reports.

September 4, 1909
https://digital.la84.org/digital/collection/p17103coll17/id/31804/rec/45

Monthly tournament in November
https://digital.la84.org/digital/collection/p17103coll17/id/30490/rec/46

June 4, 1910
https://digital.la84.org/digital/collection/p17103coll17/id/29423/rec/50

August 27, 1910
https://digital.la84.org/digital/collection/p17103coll17/id/29820/rec/52