There is a direct ancestral relationship. Henry Parks is the great, great, great, great grand son of Anne (Marbury) Hutchinson.
1. Henry is the son of Anne (Toney) Parks [unknown confidence] 2. Anne is the daughter of Charles Toney [unknown confidence] 3. Charles is the son of Elizabeth (Gilliam) Toney [unknown confidence] 4. Elizabeth is the daughter of Hannah (Savage) Gilliam [unknown confidence] 5. Hannah is the daughter of Faith (Hutchinson) Savage [unknown confidence] 6. Faith is the daughter of Ann (Marbury) Hutchinson [unknown confidence] This makes Anne the fourth great grandmother of Henry.
Mary's connection to Henry Parks & Joshua Baker is proposed, but not proven here:
https://www.findagrave.com/memorial/17950982