I'm not entirely sure of the specific 'tim conway twin elephant story' as there could be various tales associated with it. It might be a unique and perhaps personal or less - known story that Tim Conway told about twin elephants. Without more context, it's difficult to give the exact details.
The 'tim conway twin elephant story' is not a very common, well - known story that I'm familiar with off - hand. It could be a comical or interesting story that Conway created, perhaps something from his stand - up routines or personal anecdotes. Maybe it involves some funny antics or characteristics of twin elephants that Conway wove into a narrative.
I'm sorry, I don't have specific knowledge about the 'tim conway twin elephant story'. It could be a story that was shared in a particular performance, on a show he was part of, or just a story he told among friends. If you can provide more context, like where you heard about it or any key details, it would be easier to explain.