In England, the basic unit of administration prior to the mid 1800s was the eccelesiatical parish. People had a parish of settlement. It was important; your parish was responsible for you..If you became destitute and in need of help, you could be removed back to that parish. Unsurprisingly many records, not just baptisms, marriages and burials are located under parish names.
Sometimes these parish names included the word church or minster or abbey or priory. This was the case in the profile mentioned in the post that started this discussion. St Katherine Cree or Creechurch, called by this latter name in a description cited on the family search wiki https://www.familysearch.org/wiki/en/St_Katherine_Cree,_London_Genealogy
It is far more useful that a John Smith is recorded as marrying in Holy Trinity, Dorchester or St Margaret Fish Street, City of London than the generic Dorchester or even more generic London.
In the period prior to 1837, we rarely know with certainty where people were born or died because our records are mostly ecclesiatical and therefore record baptisms and burials rather than births and deaths. Marriage places within the Church of England are certain. And until 1837, very few marriages outside the Church of England were legal (1753-1837, Quaker and Jewish marriages were the only exception)