For the past five years I have had a wild turkey hen come in, breed with my tom, lay eggs down in the field, hatch her eggs and take the poults and leave. It is definitely the same hen that comes in at approximately the same time every spring. She did show up at least two weeks early last year.
This year I changed my perimeter fencing to keep the deer out and am wondering if she will figure out how to get in this year. Normally she would hop up on one of the corral bars and then jump down into the enclosed area. This year she won't be able to do that. Of course if she decides to roost in one of the trees she will then easily be able to fly down into the enclosed area.
With mine it is definitely a breeding season thing. I am glad that I have never had to deal with a wild tom coming in since here in Wyoming any offspring of a domestic turkey and a wild turkey are considered wild turkeys and therefore the property of the state. Here a G&F permit is required to possess wild turkeys.
Good luck and be careful that your turkeys don't leave with the wild ones.