According to the RKD he became a member of the Alkmaar Guild of Saint Luke in 1635, after his cousin Claes Jacobsz van der Heck helped set it up in 1632.
[1] He was the father of the painter Marten Heemskerk van der Hek, who he named after his famous great-uncle, Maarten van Heemskerck.
[1] His cousin made similar landscapes and they probably worked in the same workshop.
Jacques' son "Niclaes" was Claes Jacobsz van der Heck.
Heemskerck had disinherited "another nephew" (presumably a Dirk Dirksz, the later father of Claes Dircksz van der Heck), and left a portion in his will to Jacob Dircksz.