On the LanscBMD site you can get the marriage cert of James BURSCOUGH and Maria MARSH who married at St John's Church Preston in 1846.
Their son William seems to feature on the St John's Baptismal roll twice (see the lancashire OPC site for PR transcriptions
www.lan-opc.org.uk)
Baptisms: 20 Jul 1856 St John, Preston, Lancashire, England
William Burscough - Child of James Burscough & Maria
Abode: Orchard St
Occupation: Fowl Dealer
Baptised by: Certified by H. R. Smith
Register: Baptisms 1856 - 1858, Page 37, Entry 290
Source: LDS Film 93989
Baptisms: 10 Aug 1856 St John, Preston, Lancashire, England
William Burscough - Child of James Burscough & Maria
Abode: Lancaster Road
Occupation: Beerseller
Baptised by: J. P. Murphy
Register: Baptisms 1856 - 1858, Page 43, Entry 338
Source: LDS Film 93989
The site also has siblings James (1846), Margaret (1850), Maria Ann (1853)
Please note that St John's is Anglican so the Burscough's were probably not Catholic
James BURSCOUGH then dies in 1857 (aged 35) and in 1866 the now widowed Maria marries John BATESON (registered as BOSCOW)
SHe then goes on to have 2 more children: Ann Jane (1867) and Elizabeth (1870)
Unfortunatly the 1846 and 1866 marriage registers for St John's have not yet been transcribed on the site. But they are on the LDS Familysearch site and on her marriage cert she states her father was Edward MARSH and that she was born in 1836 - her name here is transcribed as BOSCON
She is on the 1841 census with her family (mother Margaret) in Cotton Court, Preston (all children baptised at St John's, Preston on the OPC site)
There is also a family tree on the Ancestry site with copies of James' birth and death certs and his parent's marriage cert.
However - nowhere on the birth or marriage certificate does Mary have the middle name of Elizabeth
HTH
Fiona