Dear Tim:
Sliter is a Dutch name. I have traced my family back to late 1700's here in America. There were a large amount of Sliters who settled near and around Sand Lake, New York (just outside Albany, N.Y.) Matter of fact there is a little hamlet named Sliter's Corners in that area. If you are interested, many of the old church directories of that area have 'scads' of Sliters listed. I do know that back in Holland, there was also another spelling of the name, 'Slijter'.
Hope this is helpful. There was a Sliter that owned a Tru Value Hardware store in Montana that had a whole web site on thew background of the name.
Charles S. Sliter