What I do know is that she had two children with a man called William Porter, both born in Carlisle and baptised at St Mary's there - which according to my research is a protestant Church. They had George baptised in August 1790 and Mary baptised in 1795. There may have been other children but I have not been able to find them.
Names of Catholic babies were recorded in some C. of E. baptism registers in England in 18th century. It doesn't necessarily mean that they were baptised by an Anglican curate. There were 2 reasons for inclusion of Catholic children in Anglican baptism registers.
1. Penal laws against Catholics existed during that century. Church and civil authorities needed to know how many Catholics were in England, who they were and where they lived. Lists were kept - there were several "Returns of Papists" compiled in 18th century, arranged by county.
Anglican curates were supposed to know who were Catholics in their parishes so that they could provide accurate information when asked to compile a "Return of Papists". Some curates kept a separate list of children born to "Papist" or "Recusant" parents. Some wrote their names in the baptism register, either included in chronological order or added to the end of each year; they may have "Birth" written by the name or they may not. Some didn't bother keeping a record.
2. Births were taxed twice during 18thC. to pay war debts. Anglican curates were responsible for collecting those taxes. Amount collected had to tally with the list of births he kept. Obvious place to keep the record was in the baptism register. The last of those tax periods was 1780's-1790's to pay for American War of Independence.
A pair of my Catholic ancestors had 13 children born 1787-1810. Names + dates of the eldest 7, born 1787-1796 are in C. of E. baptism register because they were born when the tax was due. The younger 6 were born after the tax was abolished so there was no need for their names to be recorded by the Anglican curate. All 13 children were baptised by the Catholic chaplain and were recorded in his register. Their cousins, born in 1780's, were also in both registers.