This Marten appears to be the father of the immigrant, although I show one source that says that Marten immigrated in 1650.
He has at least three known children, possibly four, all of whom married and settled in America.
So I think it is likely that the family all arrived together, parents Marten and Maria included. Although the oldest adult son Roelof may have instead simply brought his younger siblings with him.
Here is an old source page from 1999. For some reason the name here was repeatedly listed as Schneck, although virtually all researches say Schenck.
from Manhasset - The People.
http://www.manhasset.org/history/18c-b.html
The Schneck family settled in the present Strathmore area and eventually included all of Munsey Park and large land areas in Strathmore Vanderbilt and North Hills. The head of the family was Roeloff Martense Schneck. He had one son, Martin, who left his two sons a parcel of land that was purchased by his father from the Halsted Patent.
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In fact, Marten's son Roelof had a large number of children, and several wives.
But that gives us the clue that the son Roelof Schenck purchased the Halsted Patent.
So anyway it appears to me that the family immigrated all or in part in the 1650s, when the children were young adults and late teens.
As for the father Marten specifically, he is known by both names, Martin Schenck, Van Nydeck, as was his father Peter in the Netherlands. I take it as most likely that the family adopted the surname Schenck at some point in the 1400s, with the Netherlands farm or estate that the family is from being Nydeck, hence, from Nydeck.
If you look back on the ancestor tree into the 1400s, you can see that the birth surname for those oldest generations is Van Nydeck, with Schenck evidently as present as well as an adopted surname.
Then there are a couple generations in the tree in the 1500s in which the Van Nydeck is dropped altogether, but then picked up again much later by Marten. So, this could be a case in which Van Nydeck was dropped in error from those two older ancestors.
Supporting the above is my best old source, which lists Martin Schenck \Van Nydeck\ as son of Peter Schenck \Van Nydeck\ and Johanna \Van Scherpenzeel\.
That source was:
ANNE GROVES, C/O LINEAGES INC, 1995, Broderbund WFT Vol 2 Tree #3304. (PO BOX 417, SALT LAKE CITY, UT 84110), Date of Import: Jun 4, 1999 note: has name Martin Schenck \Van Nydeck\.
However, the large number of trees from that same era had him simply listed as Marten Schenck, and left out the Van Nydeck part altoghether. Gven that we do not have any Van Nydeck LNAB variants here to merge, I am inclined to just leave Marten, his father Peter, and his grandfather Derick, all as Schenck, rather than change it to something else like Van Nydeck for birth, of which we are not certain.
However, I would change the Van Nydeck part on Marten from a current last name to an aka instead. Because if anything, he dropped the Van Nydeck later in life, especially if he immigrated.
And for his children, including Roelof, none of them ever used the Van Nydeck variant, that I can see. Even the Anne Groves source lists Roelof simply as Roeloff Martensen Schenck. No Van Nydeck.
So, his children, and virtually all descendants going forward (with perhaps a few careful exceptions), should be Schenck.
And so then the bottom line of all this discussion is that this Schenck-12 should be the final LNAB PPP to merge all the duplicates into.
