I do have some information for you since I am related to Martha Carrier on her mother's side. Her parents were Andrew Allen and Faith Ingalls-Allen. Faith's siblings were Robert, Elizabeth (who married Reverend Francis Dane who was involved in the accusations surrounding the witch trials), John, Sarah, Henry, Samuel, Mary and Joseph.

Faith (Martha's grandparents) were Edmund and Ann Ingalls. Edmund Ingalls was the son of Robert Ingalls and grandson of Henry Ingalls. He was born in Skirbeck, Lincolnshire, England and came to Salem Mass. in 1628.

Hope this helps!