These are the 2 jokes I remembered from back then.

Q. What color were Christa McCauliff's eyes?
A. Blue ... 1 blew this way, 1 blew that way.

Q. Where did they part the Challenger?
A. All over South Florida.

However, someone mentioned washing up on shore, but that was stolen from the Natalie Wood jokes list. Here are a couple I remember from back then, including the stolen one:

Q. Why doesn't Natalie take showers on boats?
A. Because she prefers to wash up on shore.

Q. What kind of wood doesn't float?
A. Natalie Wood.