yes, it is suspicious that "Jane" was born 5 years before they were married! dates updated from
http://www.boydhouse.com/michelle/bird/thomasgodfrey.html
"Jane" is not listed among offspring of Elizabeth Mead, and also if Thomas Godfrey married Constance Richford in 1639 Cardington, England, Elizabeth would not have gone to America. Jane was the name of the Widow Godfrey and probably a 2nd wife for Thomas.
"Elizabeth MEAD was born about 1592 in England. She was married to Thomas GODFREY on 13 Apr 1619 in England. Children were: Jane GODFREY."
http://www.familyorigins.com/users/s/t/g/Bob--Stgelais/FAMO1-0001/d709.htm#P11635
Elizabeth/Jane Godfrey -
"Some Genealogies list her parents as Richard Godfrey and Jane Turner and, others indicate her parents were William Godfrey and Sarah"