Bullseye is the name of Woody's horse. Woody and Bullseye are reunited after Woody was kidnapped and taken to a museum (i think it's a museum at least) where he meets the other three members of his original t.v show ; Jessie, his sidekick, Bullseye, his faithful steed and Stinky Pete, who I have no idea who he is, but he isn't very nice :]
Hope it helped
Jess XxX :]
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The horse's name is Bulls-eye.
Jessie in Toy Story 2 is a CowgirlThx,WildComet on Horse Isle 1
Bullseye, Woddy's faithful horse, first appears in the first Toy Story. Bullseye is a faithful companion and part of the original cast. He even helps Woddy get his missing arm back from Al, the menacing dog.
toy story- 8.1 of 10.0 toy story 2- 8.0 of 10.0
Slinky Dog.