According to one online site, he was the son of Benjamin Hatcher Sr. and was mentioned in his father's will of 12 Apr 1727. The reference for this is: Genealogies of Virginia Families from Wm and Mary, Parks, Gary Indexed, (Name: Genealogical Publishing Company; Location: Baltimore, Maryland, USA; Date: 1982;), From the William and Mary College Quarterly Historical Magazine, Vol II Cobb-Hay. Pages 870-881 = Hatcher Family.
According to the same site, Henry died in 1771, not 1746. Also, the name was spelled Hatcher (you show Hacher).
I suggest you try and locate a copy of that magazine and review the information on the Hatcher family. It is available at ancestry.com if you have a subscription. I looked at the will referenced, and Benjamin did indeed mention a son Henry. Additionally, the will was presented by Elizabeth Hatcher at a court held at Varina in October 1728. Benjamin's wife is shown as Elizabeth Greenhaugh.
Another source mentioned is: Sons of the American Revolution Membership Applications, 1889-1970, Ancestry.com, (Name: Ancestry.com Operations, Inc.; Location: Provo, UT, USA; Date: 2011;), Volume: 176; SAR Membership Number: 35089.