These sources listed below have been checked and have come up empty.

Otsego County New York
Land Deed Records - Looking for first piece of property purchaced by Hill (or Father in Law Nathan Lee). This would give place of origin. There were no records of Hill buying land in Otsego. He could have been living on a relatives parcel or on his Father in Laws farm as he is next door to Nathan Lee. First "Richardson" to buy land in Otsego is Caleb Richardson in 1800.

Jefferson County, New York.
Hill purchaces his first piece of land in this county in 1817, but he is on the 1810 census here. The first piece of land here is bought from B.M.Lee. This could be Benjamin Lee, his brother in law. Hill could have been living on a portion of the farm for over 7 years and bought it from him.
   

Rhode Island Sources

Town Records Marriages, Births, and Deaths
kept in the town clerks offices

Warwick
Greenwich
East Greenwich
West Greenwich
Covent
Providence
Cranston
Johnston
North Providence
Glocester
Burrillville
Scituate
Foster
Cumberland
Smithfield
Portsmouth
Newport
Little Compton
Tiverton
North Kingston
South Kingston
Exeter
Westerly
Charlestown
Richmond
Hopkinton
Bristol
Warren
Harrington
 

Church Records
Rhode Island Friends
Narragansett Friends
Smithfield Friends
Kings Towne Friends
Providence Friends
Swansey Friends
Rev. Gardiner Thurston’s Marriages
Elder John Gorton’s Marriages
Elder Samuel Littlefield’s Marriages
Elder James Wilson’s Marriages and publishments
Elder Steven Gano’s Marriages
Elder Nathan B. Cocker’s Marriages
Elder James Mckensie’s Marriages
Elder Thomas Sheperd’s Marriages
United Brethern’s Marriages New Port
United Brethern’s Births
Elder James Wilson’s Records of Death
The First Sabbatarian Church of Newport
United Congregational Church Little Compton
Congregational Church Tiverton
Congregational Church Barrington
St. Mark’s Church Warren
St. Michael’s Church Bristol
Congregational Church Bristol
Elder Wight’s
United Congregational Church Newport / Bristol
Dr. Ezra Style
Second Congregational Church Newport
Dr. Sheperd’s Death Records
Tiverton Baptist
First Baptists of Bristol
First Baptists ofWarren
State Street Methodist Episcopal Church Bristol
Church of the Ascension Wakefield
First Baptists of North Kingstown
First Baptists of South Kingstown
Seekonk Marriages Town Records Marriages, Births, and Deaths
Pawtucket Marriages Town Records Marriages, Births, and Deaths
Newman Congregational Church
Pawtucket
Pawtucket Friends
Westport Friend
First Sabbatarian Church of Hopkinton
First Baptist East Providence
St John’s Church Providence
First Congregational Society of Providence
Westminster Congregational Church Providence
Congregational Church on the west side of the river
First Congregational Church of Barrington
West Greenwich and Exiter Union Church
Sic Principle Church Baptist Church North Kingstown
The Second Free Will Baptist Church of Smithfield
Edward Perry Justice of the peace
St. Paul’s Church Narragansett
Queen’s River Baptist Church South Kingstown
Baptist Church Exiter
Trinity Church Newport
Narragansett Baptist Church Kingstown
First Baptist Church Wickford
Christ Church Westerly
Second Baptist Church Richmond
Newport Babbatarian Church
Marriages of Joshua Babcock North Stoninton
First General Baptist Church of Richmond
St Luke’s Church East Greenwich
 

Newspapers
The Newport Mercury (news paper)
The Newport Herald
The Providence Gazette