The only thing that it means for sure is that the turkey that tried to fight through the fence is the dominate turkey in the trio.Here are a few pics of him compared to the hen. I've also noticed that when our tom turkey Bruce came up to inspect them that the hen and the mystery turkey didn't seem to care much but the for sure tom came right up to him sizing him up and tried to fight through the fence. Not sure if that meant anything just thought i'd put it out there.
My impression is that you picked up one hen and two jakes. It would be helpful to have photos of the tops of their heads so it can be seen whether or not the top of the head is bald. Just judging from everything else such as the size of the caruncles compared to the for sure hen makes me believe there are two males in the group of three.