It's been quite a while since your post, but the few family trees that I saw for Niels Thuesen didn't have his parents info so I thought I'd pass that along....
Niels Thuesen, born June 6 1884 in Billum parish, Ribe Amt. Parents: Niels Christian Thuesen and Karen Andersen.
Niels Christian Thuesen and Karen Andersen married on Feb 12 1884 in Billum kirke
Niels Christian Thuesen, born April 22 1857 in Ovtrup parish, Ribe. Parents Niels Thuesen and Mette Nielsen
Karen Andersen, born Dec 1 1861 in Billum. Parents Anders Madsen and Ellen Sorensen
Hope this helps,
J Murphy
(not related)