Zevahim 7: The Korban Pesach Is Different

Now, the peace-offerings that are brought on occasions of thanksgiving - what if one were slaughtered in the name of a different person's thanksgiving? Is the fact that it's still a thanksgiving offering sufficient for it to be fit as an offering, or must another be offered? Also, other offerings that have to be made in the name of the specific sacrifice (like the Korban Pesach, which has to be a Shelamim/peace-offering).