Namesakes
British Prime Ministers:
1 prime minister
George Hamilton-Gordon 1852-1855 
Fictional Characters from Books:
3 characters
Charles Hamilton 1936 Gone With the Wind
Wade Hampton Hamilton 1936 Gone With the Wind
Melanie Hamilton Wilkes 1936 Gone With the Wind
Fictional Characters from Movies:
1 character
Melanie Hamilton Wilkes 1939 Gone With the Wind
Fictional Characters from Television:
2 characters
Taylor Hayes (a.k.a. Hamilton) 1987 The Bold and the Beautiful
John Hamilton 1996 7th Heaven
Hall-of-Famers:
1 baseball
(baseball) Billy Hamilton 1961
Most Valuable Players:
1 winner
Josh Hamilton 2010 baseball
Notable Actors and Entertainers:
6 actors, 1 actor/model
Margaret Hamilton 1902-1985
George Hamilton 1939-
Gay Hamilton 1943-
Lois Hamilton 1943-1999
Linda Hamilton 1956-
Lisa Gay Hamilton 1964-
Victoria Hamilton 1971-
Notable Artists:
1 painter
Richard Hamilton 1922-2011
Notable Athletes:
1 baseball, 1 driving
(baseball) Josh Hamilton 1981-
(driving) Lewis Hamilton 1985-
Notable Musicians:
1 musician, 1 singer
Tom Hamilton 1951-
Normani (a.k.a. Hamilton) 1996-
Notable Scientists and Inventors:
1 engineer, 1 physicist
William Rowan Hamilton 1805-1865
Margaret Hamilton 1936-
Olympic Medalists:
1 bronze, 1 gold, 1 silver
(gold) William Hamilton 1908 medley relay
(silver) Brutus Hamilton 1920 decathlon
(bronze) Claire Hamilton 2014 curling
Rock and Roll Hall-of-Famers:
1 musician
Tom Hamilton 2001 Aerosmith