RSL111,
The two streets Pitt and Bull, are still there.
Maybe Joel Zuckerman knows the exact location.
The first American golf club, the South Carolina Golf Club, was formed in 1786 and played on the Harleton Green. Local South Carolina low country resident Barbara Shipman was commissioned to paint the scene [in the style of the period]. This can be seen on flyleaf cover of the book Golf Charms of Charleston by Joel Zuckerman.a bit more:
The Village of Harleston, also frequently called Harleston’s Green, more rarely Harlestonborough, and more recently Harleston Village, was originally part of a grant made to John Coming and Henry Hughes in 1671-1672. After the death of Coming and his wife Affra Coming, it was inherited by Ms. Coming’s nephew, John Harleston, and his decendants. The section bore the Harleston name when it was developed and streets were opened in 1770. The Harlestons, during the Colonial period, were active in the government of the Province and also accomplished breeders of racehorses.
Streets in the Village of Harleston were named for prominent men of the period, in England and the Province. The Royal Governor, Lord Charles Greville Montagu, along with Lt. Gov. William Bull; Hecter Beranger de Beaufain, Collector of Customs and member of His Majesty’s Council; William Pitt, the British member of Parliament who defended Colonial rights; as well as John Rutledge, Thomas Lynch and Christopher Gadsden, who were active in the Provincial government and later leaders in the American Revolution; all were commemorated.
Despite its early creation, Harleston was but slowly covered with houses, and in 1819, a contemporary described it as indented with marsh and creeks.
A large part of Harleston was acquired by Thomas Bennett, Sr., who with Daniel Cannon, used the ebb and flow of the tides to power large lumber mills. Thus, the part of Harleston near the Ashley River was covered by huge mill ponds. The ponds persisted after the development of steam power, and were not filled until the 1880’s.
The first golf club in America, established in 1786 by British merchants, mainly Scots, held its meetings and annual dinners in its "Club House on Harleston Green."
edit: I remember reading somewhere that the War of 1812 killed American enthusiasm for the game of golf. No way to back that contention up, but it doesn't sound too far-fetched.