The leaf implies a species of oak. Best way to verify if it is oak is to check for some kind of acorns around the area of the tree mixed in with the leaves. If there are no acorns of any kind it isn't oak.
The leaves resemble shag bark hickory. I have several in my woods. Although the bark is somewhat similar to my oldest tree, it is nowhere near that size/age. The shag bark has large single-lobed leaves, much larger than a pig nut or regular hickory. The nuts are smaller than either the regular or pig nut, only about an inch or so in diameter with the husk on. If you also see some small, husk segments, that would be my guess, although finding them after the squirrels got to them maybe a problem.