Sorry Scott, I think the will of Hendrik Gulick that has been provided as a source does confirm that Jacimayke de Hart was probably his daughter, but not that Catherine Amerman was her mother.
There seem to be a number of problems on Amerman-40, including that she may have died in 1712 but there are children born after that date, which would imply that Hendrik Gulick married more than once? Also one of the daughters is confirmed as being baptised in April 1711, which if the baptism took place soon after her birth would preclude that Jacimayke could also be born in that year.
See in you can confirm when Catherine Amerman died, or if Hendrik married more than once, might give you some better ideas about who was the mother of Jacimayke.
By the way the will abstracts are available for free on various sites, see Internet Archive or via the Family Search Library (scroll down for a list of the volumes and what they contain).