I have a Paleg Greene, father of Sarah Green when she married Charles Cotterell on 10 Dec 1851 in Rhode Island. ~ "Rhode Island, Marriages, 1724-1916"
I also have a Paleg Greene, aka Benjamin Greene, in the "United States Revolutionary War Pension and Bounty Land Warrant Applications, 1800-1900" Pension Number W. 13314 with Sarah Greene of Rhode Island listed as the Pensioner.
A Peleg Greene fathered an unnamed baby girl with a Cynthia Palmer in Bristol, Rhode Island on 15 Feb 1856 ~ "Rhode Island, Births and Christenings, 1600-1914"
Could Peleg's Wife (Sarah's Mother) have been named Lucy? I have a Peleg Greene born 15 April 1752 in Coventry, Kent, RI married to a Lucy born in 1756 with a daughter Sarah born in 1786 but it does not say where she was born. For this one, Peleg's father was named Timothy Greene and his mother was Silence Rowland BURLINGAME. They were married 22 September 1751 in Greenwich, Kent, RI. If this one sounds good to you, I will have to access the information myself and send it to you. It is in an ancestral file database that you need permission to access. Let me know.
I don't know how old you are so I cannot guess as to a correct date. Hope something here clicks for you.