First one, looks like a home grown tomato, clearly what's commonly referred to a " bridge puller " to be used on exactly, what, is probably only known by who built it. If its production, its low production, and it might not even be part of the transportation world.
Id agree with Kevin, the second is a gear puller, or a puller for removing something round off a shaft, usually a gear off a cluster shaft, think manual transmission. It looks to be two tools put together to make one... that is someone grabbed the neck from one puller, and then mated it to the collet that goes behind the gear its pulling on.