Hi: I have not found any primary recordings for "Geertje Dircks or Geertje Denyce. As there are two families a) van Ness and b) Nyssen (later Denyce) I believe Geertje does not belong in the Nyssen family and is not "Gertje van Ness"
Theunis Nyssen married in 1640 Phoebe Felix (dau. of Jan Seale) Even if they had an unknown daughter Gertje (et al) she could not have married Albert Albertsen (aka Terhune) to have daughter Heyltie June 19 1650 or child in 1651. Gerritje van Nes (supp. 1627-1689) had a rec. son(?) Hellemeg with Roelof Corneliszen (aka van Houten) in 1648. The appearance of "Gertje van Ness" at bapt. of "Albert" of Albert Albertsze in 1651 is in the recording form of listing the sponsors (with Wolfert Couwenhoeven) it is unlikely that she is the mother, rather most likely that she is same Gerritje van Nes marr. to Roelof. The only hint at wife of Albert Albertszen appears in 1681 baptism of Jannetje daughter of Sarah Alberts and Volkhard Janse (aka van Nostrand) the recording reads under the sponsor entry " Hans Hanse (likely the paternal grandfather) and "Gertie the mother's mother" Therefore< I believe the only established fact about the wife of Albert Albertse is that she was "Gertie (gertje)" but she can not be daughter of Theunis Nyssen and cleraly is also not Gerritje van Ness marr. Roelof.
P.S.I have found many errors in the writings of Bergen (Register of early settlers... etc.) and would not recommend using his data as a source without confirming the information.