Thanks for that information, Paula. You did nice work in researching Pieter and his family. They are connected now.
You will see that I started adding a "Church Records" section on the profile for the younger Pieter Cole/Cool, and that I changed his LNAB to Cole because that is the name on his baptism record. You may find it peculiar (or perhaps a weird fetish) that we (1) record the precise details of the baptism and marriage records and (2) insist on assigning the LNAB on the basis of the earliest record that meets certain criteria, even when the name is inconsistent with other family names. Goodness knows, when I first encountered these practices, I thought they were odd and unnecessary. However, I learned that they have a lot of value. For example, the records lists make it much easier to detect the family patterns (in names and baptism witnessing) that can confirm (or disprove) our theories of family connections, and insistence on using the names found in the contemporary records has actually helped us find a few situations where people had been assigned to the wrong family because an earlier researcher had treated two similar-appearing names as the same name.