This is a well known Eaton progenitor, perhaps you can claim descendancy from him.
Theophilus, first Governor of the New Haven Colony, was born in the year 1590, at Stony Stratford in England. Theophilus and his brothers, the Revs. Samuel, and Nathaniel Eaton were among the children of the Rev. Richard Eaton, of Over-Whetley, Co. Chester, England, who died not long after July 1616. Rev. Richard Eaton, who was born in 1563, received his education at Lincoln college, and became vicar of the parish of Great Budworth, in Cheshire. He afterwards removed to Stony Stratford, where he was for some time pastor of a church, and from thence he removed to Coventry, where he died in the pastoral office, in 1617, at the age of 54. Mather characterizes him as "a faithful and famous minister."
Governor Eaton was twice married. Of his first wife we have no other account than that she died after becoming the mother of two of his children. His second wife was Ann, the widow of David Yale, Esq., and daughter of Dr. Thomas Morton, the bishop of Chester. [Note: Ann was daughter of George Lloyd, bishop of Chester.] At the time of this marriage, she had three children, David, Thomas and Ann Yale, to whom, says Mather, Mr. Eaton "became a most exemplary, loving and faithful father." Edward Hopkins married Ann, and the three children came to New England with their mother.
Governor Eaton, in his will, names three children only--doubtless all who were at that time living. Mather says that two of his children died of the plague in London. Of those who died before him, his son Samuel was the most distinguished. He was born in 1629, came with his father to New England, graduated at Harvard college in 1649, and was chosen a magistrate of New Haven colony in May, 1654. He and his wife died with two days of each other, in June, 1655."(42)
The three children named in the Will, were Theophilus, Mary, and Hannah. Theophilus, a son by the first marriage, came to this country, but returned and settled in Dublin. Mary was married to Valentine Hill, who, in 1658, removed to Pascatawqua in New Hampshire. He had been a deacon in the First Church of Boston. Hannah, after the death of her father, accompanied her mother to England, where, in 1659, she was married to William Jones, an English barrister, son of Col. John Jones, brother-in-law of Cromwell, and one of the regicides executed on the Restoration in 1660.
Source: Memoir of Theophilus Eaton by Jacob Bailey Moore (1797-1853)