Leward,Leuwark seems to be first connected with Guildford County, NC with Elijah Lewark B. @ 1794 and died 1884 madison, IN.
There is picture of him on the internet -
I also saw that the name Lewark may be German or Prussian
There was an Andrew Lewark b. 1811, VA - father John Luark.
Leeuwerke is from Netherland families
Llywarch is Welsh - and folks involved with descendants in NC
say there were two brothers from Wales who came to NC - one stayed in NC and one went to DE.
In the 1880 US Census the majority of Lewarks lived in Indiana -
seem drawn to that State!
Looking at this, I believe that Luark is a corruption of another name, but not Ruark - the Ruarks as far as we can find are:
Rhuark, Rheuark,Ruark,O'Rorke,O'Ruark,O'Ruarke,Ruarke,Rook,Rooks, etc - but none seem to start with an L - there is even a Reewark in Colonial records - had two wives that fought over his pension as a Rev. War veteran. Most often in NC census we see it as Rowark -
and in early land records also. Must have had a bit of "Irish" in them to pronounce it so!