I just recently found this court case that lists some information on Benjamin Burd.

http://books.google.com/books?id=xq5LAAAAYAAJ&pg=PA82&am...

His father was John Burd. And he had at least two sons: John and George.

I also believe his father John Burd to be Col James Burd's brother and son of Edward Burd and Jean Halliburton of Scotland (http://pilot.familysearch.org).