From the earliest record of the Society of Friends on Long Island:
The children of James and Sarah Cock, borne Killingworth
...
Thomas Cock was borne ye 15th of ye 8th Mo, 1658. [15 Oct 1658]
[Even if true of most of the children, the birth of Thomas may not have occurred in Killingworth on Matinecock in Oyster Bay, Long Island, as her father did not purchase land there until 1662. The family appears to have been living in Southold, or possibly Setauket (Brookhaven, CT), at the time of Thomas's birth.]