As you know COUVERT is one of a zillion spellings of what most of us spell as COVERT.In a book titled "Denizations and Naturalizations in the British Colonies in America 1607-1775" I found the following:
Johannes COVERT naturalized in NY 11 Sep 1761 Jan COUVERTS took oath of allegiance in Kings Co NY between 26th-30th of Sept 1687. And it stated he had been in the colony 35 yrs. Luijcas COUVERTS (Lucas?); Mautitus COUVERTS and Theunis Janse COUVERTS were same date as Jan COUVERT above.