Your NJ Carman ancestors are not covered in the SOURCE but are aparently related.
William Henry Carman, [13Feb1831-1877] was son of Rev. James & Rosannah (Ellis)Carman, m. Cintrella Gage, Feb 1854. Wm. d. 1877. They had 3 children: Adelaide, William & Rate. Mrs. Carman and her daughters moved to Mattoon, IL.
Rosannah [1793-1857] b. Berkeley Co., VA was d/o of Abraham & Katharine (Joel) Ellis of Clinton Co., OH.
SOURCE:The Ellis Family, by Katharine S. Foos, published 1900 by UB Publishing, Dayton,OH . . . . The Green Co., Room, Xenia, OH has a copy of the original book.