Namesakes
American Presidents:
1 president
Rutherford B. Hayes 1877-1881 
Fictional Characters from Television:
2 characters
Hank Hill (middle name Rutherford) 1997 King of the Hill
Charlie Kelly (middle name Rutherford) 2005 It's Always Sunny in Philadelphia
Notable Musicians:
1 singer
Layne Staley (middle name Rutherford) 1967-2002