Adding a bit more of the document here, because in 10 years it's never occured to me to compare the first letter in Wills/Hills/Mills to the lettering on the rest of the document

I'm looking at the W of William and the H of Hannah, and the way the loop at the beginning of each of those letters are done, the Thomas name now looks like Hills to me.
William and Hannah are both written by someone else and marked their X, so I assume that the handwriting is the same person for all these names....
What do you think?