hi could this be him?
Baptisms: 11 Oct 1840 St James, Brindle, Lancashire, England
William Ainsworth - Son of George Ainsworth & Jane
Abode: Livesey
Occupation: Blacksmith
Baptised by: Charles Edwd Kendal Rector
Register: Baptisms 1813 - 1844, Page 186, Entry 1481
Source: LDS Film 1849648
Baptisms: 30 Oct 1842 Holy Trinity, Hoghton, Lancashire, England
Elizabeth Ainsworth - Daughter of George Ainsworth & Jane
Abode: Hoghton
Occupation: Blacksmith
Baptised by: T. F. Chamberlain Curate
Register: Baptisms 1824 - 1903, Page 77, Entry 613
Source: LDS Film 1849658
Baptisms: 12 Jul 1846 St Mary, Lancaster, Lancashire, England
Grace Ainsworth - Daughter of George Ainsworth & Jane
Born: 16 Jun 1846
Abode: Lancaster
Occupation: Blacksmith
Baptised by: A Christopherson, Curate
Register: Baptisms 1845 - 1852, Page 35, Entry 275
Source: LDS File 1526200
Baptisms: 23 Sep 1849 St John, Preston, Lancashire, England
Margaret Ainsworth - Child of George Ainsworth & Jane
Abode: Egan St
Occupation: Smith
Baptised by: J. Wilson Curate
Register: Baptisms 1848 - 1850, Page 206, Entry 1646
Source: LDS Film 93988
Baptisms: 11 Jun 1851 St Helen, Garstang, Lancashire, England
Ann Ainsworth - Dau of George Ainsworth & Jane
Abode: Catterall
Occupation: Smith
Baptised by: G Simpson
Register: Baptisms 1838 - 1862, Page 136, Entry 1087
Source: LDS Film 1278942
Baptisms: 30 Sep 1855 St Helen, Garstang, Lancashire, England
George Ainsworth - Son of George Ainsworth & Jane
Abode: Catterall
Occupation: Smith
Baptised by: G Simpson
Register: Baptisms 1838 - 1862, Page 178, Entry 1417
Source: LDS Film 1278942
Baptisms: 25 Apr 1858 St Helen, Garstang, Lancashire, England
George Ainsworth - Son of George Ainsworth & Jane
Abode: Catterall
Occupation: Smith
Baptised by: Thomas Carter Curate
Register: Baptisms 1838 - 1862, Page 204, Entry 1628
Source: LDS Film 1278942
I had a look on the 1851 census and noticed they had a visitor with surname Cotton. Could this be the marriage?
Lancashire Marriage indexes for the years: 1838
COTTON Jane AINSWORTH George Penwortham, St Mary Preston 223/1/76