My best recollection of the official biographies of members of the Colonial Assembly and General Assembly of South Carolina is that Teague was the father of two brothers who came on the first ship from Barbados. Teague followed a year or two later. One of his sons was a Member of the Colonial Assembly from All Saints Parish in the 1690s. The family land grant was on the Ashley River. I have heard that Teague and his sons had emigrated from Cork to Barbados around 1650. Although Barbados was prosperous at the time the sons joined the expedition to colonize South Carolina and landed at Charlestowne in 1670. Other than the unsuccessful Spanish settlement attempt in 1520 and a lone Englishman who traversed the coast North-South on foot in the 1660s they were the first Europeans in the area. Not counting pirates.
As you may know, many were Loyalists in the Revolution and suffered for it. By 1812 they had regained sufficient respectability for a General Canty to be elected President of the Camden Jockey Club.