I know Family Search can have errors same as Geni, but they have different parents for this Judith, which might resolve the data conflict with Abigail (Dickinson) Carpenter dying about 10 years before this Judith is showing as being born.
However, Family Search also has this date of birth for Judith: 3 June 1764.
Here is the full bio summary from Family Search:
The Life Summary of Judith
When Judith Carpenter was born on 3 June 1764, in Augusta, Virginia, United States, her father, Solomon Joseph Carpenter, was 54 and her mother, Sidney Hughes, was 39. She married Jacob Shawver on 9 August 1786, in Botetourt, Virginia, United States. They were the parents of at least 7 sons and 7 daughters.
I'm only very distantly related but adding some profiles on the lines of my half-sister's paternal side.