Well thats good you found the parents. Are they Mr and Mrs Es ?? You dont give there names...
On the one hand you say "I just found the parets" and then you say "there may or may not be a realtioship".........Very clear.........You can not have it both way s "I found them" and "and there may or may not be a relationship".....If you found one there is. Period.
The original question was if there was a relation to Jacob van Ess (1559-1666) we really don't know, the OP was stuck on Pieter van Es born around 1758. I just found his parents, and they are probably from Leiden, I haven't looked that far yet. The OP never had Pieter's parents before, or where they were from. There may or may not be a relation, but to answer the question we have to go back in time step by step.