Prior to the start of civil registration in England and Wales, there were no certificates as such.
For marriages, no parents were recorded prior to 1837 and post that date, only fathers were named until quite recently. After 1754, the parish of residence was usually entered, but not the parish of birth.
For baptisms, both parents might be named, but many parishes omitted the name of the mother until as late as the 19th century (1813 onwards) when new requirements were placed on record keeping.
Nell
