Nick,
Most Long Island Indian names are botched by the residents. There were 13 tribes on the island, and as a rule they put the accent on the second syllable. So while Islanders properly pronounce Napeague, they never pronounce Patchogue correctly... which should be puh-CHAWG. Same with Montauk... which correctly is said mun-TAWK. Cutchogue should be pronounced cuh-CHAWG... but too many City People have screwed things up for too long.
Jon