I've found quite a few places where one can look at source documents if you are a subscriber and they all point to her maiden name being Schouwermans
Name: Anna Schouwermans
Spouse: Hans Smidt
Birth: 1630 - Maastricht, Netherlands
Death: Netherlands
I may even have found another son:
26-11 Hans Wilhelm, sone van Joannes Smit en Anna Schouwermans.
http://www.geneaknowhow.net/script/dewit/valkenburg-ref_dopen-1652-...
Name: Anna Schouwermans
Marriage Date: 26 mrt 1680 (26 Mar 1680)
Marriage Place: Bergen op Zoom, Nederland
Role: bruid
North Brabant, Netherlands, Markiezenhof Marriage Index, 1597-1810 (in Dutch)
This was the end merge in a line of merges, so I don't know the profile at all. There wasn't info on the profile to help me decide between the data conflicts, so I thought I'd keep the alternative in case it was useful to managers. This is a fantastic outcome - thankyou. I'll add when I'm on my computer, if the managers haven't done so themselves by then.
Jan (Johannes) Smit, SV/PROG born c. 1662, also before marriage date 0f 1680. There are a few possibilities here why the dates don't look right.
e.g. women can have children out of wedlock.
Transcription of the wedding date incorrect.
There were more than one couple names Anna Schouwermans and Hans Smidt
There were actually more than 2. I found another one who had a child in 1700.
https://stadsarchief.breda.nl/collecties/genealogie/weergave/akte/l...