There have been two creations of baronets with the surname Rutherford. Both baronetcies were created in the Baronetcy of the United Kingdom, and both are now extinct:
Contents
Rutherford of Beardwood, Lancs (1916)
(extinct on his death)
Rutherford of Liverpool (1923)
(extinct on the death of the second Baronet)
References
Rutherford baronets Wikipedia(Text) CC BY-SA