My mom told me a bunch of elephant jokes, apparently they were all the rage in the 60's. Not sure about that, but here they are, as many as I can remember (fair warning, I didn't make them up, I don't have to explain if they don't make sense).
How do you tell if an elephant has been in your fridge?
There are footprints in the butter.
How do you tell if he's still there?
You can't close the door.
How do you tell if an elephant is in bed with you?
The peanuts on his breath.
How do you hide an elephant in a strawberry patch?
Paint his toenails red.
How do you hide an elephant in a bowl of M&M's?
Paint his toenails multi-colored.
How many elephants can you fit in a VW Bug?
5... 2 in the front, 2 in the back and 1 in the trunk.
What did Tarzan say when he saw the elephants coming?
Here come the elephants!
What did Tarzan say when he saw the elephants coming with sunglasses on?
Nothing, he didn't recognize them.
How do you put an elephant in a milk jug?
You need binoculars, tweezers and a milk jug. Look in the wrong side of the binoculars at the elephant, pick up the elephant with the tweezers and put him in the milk jug.

2 bonus jokes!
What's yellow and goes slam slam slam slam?
4 door banana
What goes stomp stomp stomp squish, stomp stomp stomp squish?
An elephant with one wet tennis shoe.
Please, either add more to it, or tell me not to quit my day job....