Seems strange that they were married 1729 and only one son 20 years later, I wonder if Edmund & Ellin, had a son named Edmund and he was the father of Thomas?
You may have these?
Edmund WILLICY Burial 22 Jun 1752 Lancashire Woodplumpton : St Anne : Parish Register
Abode Catford, which is the abode on Thomas’s baptism record on freereg.
Also.
Edmund WILLICY Burial 12 Apr 1773 Lancashire Woodplumpton : St Anne : Parish Register
Son of Thomas abode Bartel.
Also these but maybe not related?
Ellen WILLASEY Burial 07 Jun 1757 Lancashire Goosnargh : St Mary : Parish Register
Widow abode Inskip in the Parish of St Michael
Ellen WILLACY Burial 18 Aug 1815 Lancashire Woodplumpton : St Anne : Parish Register
Age 78, abode Inskip. Relative of above maybe?
Colin