I am not Quick but Neeltje was incorrectly married to the Quick family, i added a CN to hopefully stop that happening again.
I had hoped to find these people in Geni already not create them, I haven't made a profile for Cors Jansen yet but may as well today. He is in the court documents a lot but not obviously in the baptisms.
I have a feeling, but no evidence, that Francisco Anthony might be a relative of the Burgomaster Allard Anthony who's father's name (according to Geni) is Franciscus Antonides (or "D'Franciscus Anthonides").
I have seen one site give Francisco an aka of Franciscus and Allard anglicised Anthonides to Anthony.
I don't have any idea when Francisco was born but i'd guess c.1640 based on ages of his wives and their other husbands, Allard is shown on Geni as born c.1620 so it is plausible that Francisco could be a younger brother.