First, the *only* documentation found to date [that I am aware of] providing a name for the wife of Albert Albertse, the immigrant is as follows:
Tuesday, 16th October 1663, Court Minutes of New Amsterdam
Abraham Pietersen Corbyn, arrestant and plaintiff, v/s GEERTJE DIRCKS TERHUNEN, the ribbon weavers wife, defendant and arrested.Plaintiff's wife appearing demands from defendant thirty-three guilders ten stivers balance according to a/c saying she still has an old a/c, which her husband has with him, whereby something else is also coming to her.
Defendant produces a counter account.The W. Court refers the matter in question to Hendrick Jansen van der Vin, Old Schepen of this city, and Hans Stein, to take up parties a/c to decide and settle the same, to reconcile the parties if possible, if not to render their report to the Court, the attachment remaining so long valid, until parties shall agree among themselves.
The above identifies her as d/o Dirck 'somebody'... There is no record of the given name Dirck among the first three generations of DeNYSE (TYSSEN) family so it doesn't seem likely that she was of that family.
Those who claim Geertje to be a DeNyce identify her as the d/o Teunis Nyssen DeNyce and Femetie Jans Seals.But there is no record of a daughter, Geertje. Furthermore, the dates simply don't compute.