Sorry its taken so long to reply. Now, I am somewhat familiar with William Amazeen, your ggg grandfather. I found on familysearch.com, that William and Lucretia had 6 children, Merriam, Daniel, George W.T., Nathan, Stephen L., and Winslow A. I believe this Stephen is your Sterling that you are inquiring about. But, I also found a Stephen L. Amazeen, who died 13 Jul 1919 in Newcastle, NH age 65 yrs, 1 mon., 10 days. It stated his parents were William and Lucretia Amazeen.
William and Jane (Jones) Amazeen had 16 children. All of them born in Newcastle, NH. Their were; Sarah, William, Mary, John, William(your ggg grandfather),Joseph, Rufus, John, Mary, Clarissa, Oliver, Eliza, Nancy, Adaline, Henry Clay, and Frances Lear.
Well I hope this helps you out. Peter Welch