On a trip to the Netherlands in 1999 I found a nice little archive in the town of Veghel, North Brabant, which had collected records from all the surrounding municipalities. As far as I could interpret from the archivist the name van der Wijst originated in the area and is particularly associated with the towns of Boekel and Uden (where my ancestors come from). The best translation of the name we were able to come up with is "from the loam", loam being a sandy-silty soil.
As far as we can make out four van der Wijst brothers (Arnoldus, Albertus, Joannes & Thomas) emigrated from Uden in the early 1850s, and (probably) at least three of them ended their days in Cleveland, Ohio, under the name of Vanderwyst or just Wyst. We know that the Thomas Vanderwyst (1828-1907) in Cleveland is the same as the Uden brother, and we have strong circumstantial evidence that the Arnold (1824-1898) and Albert Vanderwyst (1825/7-1882) living in Cleveland at the time were his brothers from Uden. There have been Vanderwysts in Cleveland now for about 150 years, and it is our theory that they are all descended from the same group of brothers (since Vanderwyst is not a common name nor was Cleveland a popular destination for Catholic Dutch).
Do you know where your VanderWeyst ancestor came from in the Netherlands?