The Carteret Gun Club was at Garden City, Long Island, NY. In the June 7, 1902, issue of
Sporting Life, is states they had been looking for new grounds in New Jersey and had settled on Hetfield Farm about one mile from Westfield, NJ. This of course after New York enacted that "silly law."
http://library.la84.org/SportsLibrar.../SL3912030.pdf
By October 26, 1903, there were matches being reported from the grounds at Westfield.
http://library.la84.org/SportsLibrar.../SL4210015.pdf
It appears they returned to Garden City as a "clay target" club in 1904 --
http://library.la84.org/SportsLibrar.../SL4411014.pdf