I am now able to answer my own question.I got some very valuable assistance from Don Ebbeler who lives in California and is also a descendent of families that came from Lienen and Lengerich in Westphalia.
My gr grandmothers actual name at birth and christening was Sophia Friederike Elisabeth Wegmann.She was born 3 Jan 1841 and christened 24 Jan 1841 in the Evangelical (protestant) church in Lengerich.She changed her name to Frederike S. Wegmann when she came to the U.S.
Information about her and her family is found at FamilySearch.com by doing an advanced search and then looking at the IGI.See Film #0526388, Batch C952791 for Lengerich.
Her parents were Hermann Heinrich Wegmann and Catharina Elisabeth Lammers.Hermmann was b. Jul 1797 in Lienen.Catharina was b. 28 Nov 1809 in Lengerich.They were married 6 April 1832 in Lengerich.In addition to my gr grandmother, they had children named Marie Wilhelmine Elisabeth b.3 May 1833, Friederike Elisabeth b. 16 June 1835, Wilhelmine Elisabeth b. 26 Oct 1837, Hermann Heinrich b. 23 May 1844, Wilhelmine Catharina b. 2 Dec 1847 and Caroline Marie Sophie b 11 Oct 1851 and d. 9 Jul 1852.
At this point, I have not found any evidence that any other members of this family came to the U.S.I continue to research this question.
The grandparents of my gr grandmother were Johann Everd Wegmann b. Jan 1751 m. Anna gertraud Schaefer and Johann George Lammers m. A. Sophie Roetcher.
Readers who are researching other families from this area in Prussia may contact me as I now have most of the published works and maps in German from the area.