http://www.temple.edu/biographical/JamesHamilton/index.htm

"Born about 1710 on his father's 600-acre estate, Henberry, in Kent County, Maryland, Hamilton was the last child born to Andrew Hamilton* and Anne Brown Hamilton; the elder Hamilton became one of Pennsylvania's most prominent colonial politicians. Although little is known about James Hamilton's childhood years, according to one source he accompanied his father on a trip to London from 1725 to 1727 possibly for his education. "

but on a following page we read on page 406 that James may have been born in Virginia:
The Pennsylvania Magazine of History and Biography
Vol. 20, No. 3 (1896), pp. 405-408 (4 pages)
https://www.jstor.org/stable/20085705?seq=2