I'm sure what Rev says about L.C. Smiths is true, but 1902, 1906, and 1911 were before L.C. Smith SBTs. According to my 1928 Ithaca catalogue Ithaca SBTs won four GAHs in ten years, Charles Larson, John Henry, Elmer Starner, and Charles Young. By the 1934 catalogue they had six GAH winners in 15 years -- add A.E. Sheffield and Mose Newman to the list. By the 1936 catalogue add L.G. Dana winning the GAH with an Ithaca SBT. By the 1938 catalogue add Frank G. Carroll as another GAH winner with Ithaca SBT, making eight times the GAH was won with an Ithaca SBT. Also by 1938 Hale Jones had carried the high average two years in a row with .9878 amd .9905 with his Ithaca SBT. By 1939 Joe Hiestand had set a new World Record of 1404 straight with his Ithaca SBT, and by 1940 add D.L. Ritchie to the list of Ithaca GAH winners. By the 1947 Ithaca catalogue add two more GAH winners to the Ithaca SBT list -- Don Englebry and J.F. Halderman -- bringing the total to 11 GAH wins. By the 1953 catalogue Joe Hiestand's long run title was still holding.
The only thing I've ever found about a Fox SBT winning a big shoot was W.C. Letterman winning the Amateur Trap Shooting Championship of Pennsylvania on June 20, 1923, with a 198 x 200 with 168 straight. Also, Dr. J.D. Griffiths won the class B title with 193 x 200.