Sorry to say, but Ancestry Com has data on this family see below. Not sure, but I think Ancestry has a free use period, not sure of the time frame, to try it out. You may want to try it out.. There is more data than this.
England, Select Births and Christenings, 1538-1975 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2014. England, Births and Christenings, 1538-1975. Salt Lake City, Utah: FamilySearch, 2013. Transcritption:
||27 Mar 1814|
||Warrington, Lancashire, England|
||William Swingewood |
|FHL Film Number:
||yr 1813-1818 p 71|
Not saying this is your William, but worth investigating.
England & Wales, Christening Index, 1530-1980 [database on-line]. Provo, UT, USA: Ancestry.com Opertions, Inc., 2008. : Genealogical Society of Utah. British Isles Vital Records Index, 2nd Edition. Salt Lake City, Utah: Intellectual Reserve, copyright 2002. Used by permission. Transcription:
||5 Jun 1785|
||Longton, Staffordshire, England|