Following are records from New London, CT. (Thanks to Troy Bailey for the following information).
1655 Thomas Bayley was marryed to Lyddia the daughter of James Redfin 20th of Jany.*
1656 Mary Bayley the daughter of Thomas & Lydia Bayley was borne ye 14th of February
1658 Thomas Bayley sonn of Thomas & Lydia Bayley borne ye 5th of March
*Lydia Redfield was the sister of James Redfin, not his daughter. Her father was William Redfin. Please refer to "Genealogical History of the Redfield Family in the United States" by John Howard Redfield, 1860, footnote, p. 7. Spelling and grammar as in original
The following information is from the Barbour Collection, a reference for early New London vital records (see link below):
BAILEY
James, son of Thomas and Lydia, b 26 Sep 1666
John, son of Thomas and Lydia, b Apr 1661
William, son of Thomas and Lydia, 27 Apr 1664
According to the records of Donna Beers, Thomas and Lydia had two other children:
Joseph b Feb. 19, 1667/68
Lydia b Aug. 2, 1670
I have no primary documentation for these two people. Please contact Donna.