As I'm interested in John Magoun/Magoon as a possible Scottish prisoner, this has sent me off exploring the records. None of the publications I can find state the evidence explicitly, but this seems to be it:
The will of John Magoon date 20 May 1697 names his daughter Hannah Lovell. [See the citations on his profile.]
The church records of Barnstable include the baptism of "Mary of Hannah wife of Andrew Lovel Anno 1696 March 8th" that is 8 March 1696/97,[1] a few months before John Magoon's will. Mary appears in the Barnstaple vital records as born 17 Nov 1693.[2]
Putting the two together, we can conclude that Hannah Magoon was married to Andrew Lovell before 1693, and in the absence of any evidence for another wife, it seems likely that she was the mother of all his children.
The parentage of Jean/Jane seems less clear, but the argument is made on her profile that Andrew and Hannah Lovell are the only Lovells in Barnstable having children at the time of her birth.
[1] "Barnstable, MA: Church Records, 1639-1892." Records of Barnstable, Massachusetts. CD-ROM. Boston, MA.: New England Historic Genealogical Society, 2002. (Online database. AmericanAncestors.org. New England Historic Genealogical Society, 2015.) https://www.americanancestors.org/DB1638/i/28747/99/577964440 Based on Gustavus A. Hinckley "EAST AND WEST PARISH - BARNSTABLE." and NEHGS LIbary mss 419 https://library.nehgs.org/record=b1030331
[2] Bowman, George Edward. "Barnstaple, Mass., Vital Records". The Mayflower Descendant, volume 11, pages 95-100. See page 99 https://www.americanancestors.org/DB407/i/12336/99/0
