I don't have anything on Joseph Alexander Marsh but Joseph is definitely a family name in my line. There was Captain Joseph Marsh baptized 3-5-1671 at Hartford Connecticut. There was Ensign Joseph Marsh b. 12-5-1699 who lived most of his life in Lebanon Connecticut. Then Colonel Joseph Marsh of Hartford, Vermont b. 1-12-1726. He was the first Lt. Governor of Vermont and was awarded 1,000 acres by Pt. George Washington for his services in the Revolutionary War. He had a son Joseph born in 1757 m. Serepta Wells. From there our line goes through his brother, Daniel. I find a Joshua Marsh at Montague, MA, 4-25-1797 son of Joshua and Mindwell Crosbee Marsh. Sorry I could be of more help.