Sarah A. Bryan (Brinker) - Possible relatives of Sarah Brinker

I am a member of FTDNA. On that site my cousin and I who both descend from the Bryan's and Miss Brinker. We both have a surname match for de Sille. There was entire family of de Sille's living in that area at that time. Additionally I am a member of Gedmatch which can reveal locations by ancestors. Belgium shows up as does Dutch of course.
Does anyone know by any trail how de Sille and Brinker could possibly be related? I have no matches for Brinker surname but have matches for Brinckerhoff surname

Brinckerhoff: Matches to these Brinckerhoff family's.
http://familytreemaker.genealogy.com/users/s/t/a/Marshall-Stanton-I...

https://books.google.com/books?id=iNIUAAAAYAAJ&pg=PA1198-IA8&am...

http://www.jakehannam.com/web/brinckerhoff_descendants/d1.htm

de Sille:
http://familytreemaker.genealogy.com/users/s/t/a/Marshall-Stanton-I...

https://books.google.com/books?id=xJQyAQAAMAAJ&pg=RA1-PA24&...

Antonius De Sille The first De Sille

[Laurens DeSille] came to Amsterdam soon after the revolt of the United Provinces against Spain, was chosen Pensionary- of that city, and sent in 1587, with others, on an Embassy to Queen Elizabeth of England; was Ambassador to Denmark, aud afterwards to Germany, and was repeatedly sent a Deputy to the States General, and was twice Commissioner to the army whilst in the field ....
from http://vanarsdaleleefamilyhistory.blogspot.com/2012/05/charitys-7xn...

There is a marriage between a Brinckerhoff and a de Sille but they do not produce a Sarah Brinker as it occurs down line from the time she is born. However both surnames are matches on FTDNA and both families lived in the area where Sarah Brinker came from.

De Sille is mentioned several times being associated with William Prince of Orange but only in business transactions.
In 1584, de Sille made up the conditions of homage of Prince William to negotiate with the Earl of Leicester pertaining to control of the Netherlands. Source: http://en.wikipedia.org/wiki/Nicasius_de_Sille

The names, places and connections are are all there but they do not add up in a cohesive manner.