I am descended through one of Henry's other children, John (william's brother) who married Mary Gallup. I have seen many differnt couples listed as Henry's parents. I have never found any records proving any of the parents listed. I know Henry's family was in Whitechapel around 1630-1640.
Is his birth listed in St Mary Church and if so did it list both parents and did you find any other Coles listed. Henry's uncle was James Cole one of the founders of Hartford CT. who corresponded with Nehemiah Wallington a puritan in Whitechapel during these years.