There reportedly was one child , Olivia Wilmot ( 1772 -- 1834 ) , from this relationship , though the duke 's paternity was never proven .
Child   was accused of forging the evidence .
There reportedly was one child , Olivia Wilmot ( 1772 -- 1834 ) , from this relationship , though the duke 's paternity was never proven , and Olivia Wilmot was accused of forging the evidence .