Might also be helpful to know that he resided in Coventry and Vincent townships in Chester county, provided the Tavern Petitions listing at the CC archives is your Edward Parker.
Parker Edward
Coventry 1748 A 7/52

Parker Edward

1748 A List

Parker Edward
Coventry 1749 A 8/19,20

Parker Edward

1749 A List

Parker Edward
Vincent 1767 A 18/119,121

Parker Edward
Vincent 1768 A 19/119,120

Parker Edward
Vincent 1769 B 20,79

Parker Edward
Vincent 1770 A 21/133

Parker Edward
Vincent 1771 A 22/147,148

Parker Edward
Vincent 1772 A 23/148,149

Parker Edward
Vincent 1773 A 24/143,144

Parker Edward
Vincent 1774 A 25/136,137

Parker Edward
Vincent 1775 A 26/128a,128b[127]

Parker Edward
Vincent 1776 A 27/59

** Tavern Petitions were more or less public announcements asking neighbors to provide comment as to the appropriateness and reputation of the establishment and it purveyor. It is not the current day "Liquor License". Obviously, this Edward ran an upright Inn.