My book does not cover the lineage of the PEYTONS of Aquia who settled in Illinois. I assume they were the descendants of the Thomas Bronaugh PEYTON from Kentucky who died at Coles County, Illinois in 1842, as he had thirteen children. His father had served as an Ensign during the American Revolution (page 115) and then went to Kentucky afterwards. Thomas and his wife Charlotte are cited on page 116, and his lineage is documented back to the PEYTONS of Aquia, Virginia and to England.
The PEYTONs found in Illinois could also be descended from the Joseph PEYTON (page 125), who had a son, Joseph PEYTON, Jr. who went from Kentucky to Coles County, Illinois after 1840.
Please see pages 115, 116, 125 and 126, of PEYTONs Along the Aquia for the connections of these two families to the PEYTONs of Virginia and England.