Hi Frans:
Thanks for setting me straight on this topic. For the moment, and from what I have seen from your posts as well as my offline research through Lisse records (and surrounding municipalities), all known sources have been consulted and analyzed. Who knows? Maybe one day, an obscure document might surface that will answer your (and by extension, Yours Truly, since I am a descendant) query.
For now, I will simply content myself that Nanning Cornelisz van Beijeren is the first in the line, and move on. As you are fond of reminding me, these folks are not going anywhere.
Regards as always,
Steve