While viewing the captain's display of ships named Enterprise in 2154, Shran asked Archer if he had personally served aboard the various vessels on display. Archer noted that many of these vessels were active before his time, and that this ship sailed "almost four hundred years" before. (ENT: "United")
According to Star Trek: The Next Generation - On Board the USS Enterprise (p. 8) and its Wikipedia page, this Enterprise was a British sloop formerly named George. This ship was captured and retrofitted into a warship by the Americans in 1775. As a matter of fact, another British vessel, the ten-gun tender HMS Enterprize (1775), had also been captured by the Americans in the same year, therefore becoming a second candidate for the depicted ships.