Battle of Greenfields (2747 T.A.) - There is only one battle recorded in which Hobbits (as a people) participated.  The Battle of Greenfields.

 

"The last battle, before this story opens, and indeed the only one that had ever been fought within the borders of the Shire, was beyond living memory: the Battle of Greenfields, S.R. 1147, in which Bandobras Took routed an invasion of Orcs." ~The Fellowship of the Ring (Prologue)

 

"...even to Old Took's great-grand-uncle Bullroarer, who was so huge (for a hobbit) that he could ride a horse.  He charged the ranks of the goblins of Mount Gram in the Battle of the Green Fields, and knocked their king Golfimbul's head clean off with a wooden club." ~The Hobbit, chap. 1 (An Unexpected Party)