Hello Becky,
I am also interested in this family, variously spelled: VanderWeyst, Vanderwyst, Wyst, Vanderwist and (probable original spelling) van der Wijst. The name seems to have origninated in North Brabant, Holland, with my particular branch coming from a town named Uden. Of particular interest to me are Vanderwysts with a connection to Cleveland Ohio from 1850-present. I have information on several branches of Cleveland Wysts and Vanderwysts, as well as some information on Uden and the archive system there.