Yes, those two and a third Alexander Hamilton, the laird of Grange, Scotland, were first cousins.  See Rosane Rocher and Michael E. Scorgie, "A Family Empire: The Alexander Hamilton Cousins, 1750-1830," Journal of Imperial and Commonwealth History, vol. 23, No. 2, 1995, pp. 189–210. 

Rosane Rocher
 
On 2/20/15 1:00 PM, Matthew Kapstein wrote:
This is of course the well-known Alexander Hamilton (1755-1804) of US revolutionary fame, and
not the British Sanskritist (1762-1824), who nevertheless seems to have been a relation.

Matthew Kapstein
Directeur d'études,
Ecole Pratique des Hautes Etudes

Numata Visiting Pro
fessor of Buddhist Studies,
The University of Chicago




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