If the Specks were Catholic then you wouldn't expect to find their baptisms on the IGI
http://www.familysearch.org/Eng/Search/frameset_search.aspsince Catholic churches rarely deposited their records in county record offices.
Either William's or John's marriage certificate will give you information on their father's name and occupation. If knowing that, he is still alive on the 1841 census it might be possible to find him.
geniecolgan has given you the references for both marriages (you do not need any further information than that). You can purchase either certificate from the General Registry Office.
http://www.gro.gov.uk/gro/content/certificates/Regards
Valda