I only have a Tom Hardestry who died in 2001 who is married to a 2nd cousin of mine. But this surname has come up a number of times when I have been scanning Le Sueur Co., MN census records. So it was not until your query that I will be noting this family. If I see a William or other old Hardesty's, I'll let you know.
What is the birth place/date of your grandparent, child of William?