The PGM project is in shambles. The PGM leaders should have responded to this back in July 2016 and removed these parents. The is a well established fraud. I'm just going to go ahead and add these notes to the profile and remove the current parents. Sorry you did not get a response to your previous research.
Notes on the fraud:
In 1995 Robert Charles Anderson in the Great Migration begins stated that the origins of Andrew Ward of Connecticut are still unproven but cites Jacobus's Families of Old Fairfield which called out a fraud stating that he was related to a noble family from Homersfield, Suffolk, England and also to an article in The New York Genealogical and Biographical Record pointing to the correct famly.<ref>Robert Charles Anderson, The Great Migration Begins: Immigrants to New England, 1620-1633 , 3 volumes (Boston 1995) 1918-21</ref> [https://www.americanancestors.org/databases/great-migration-begins-immigrants-to-ne-1620-1633-vols-i-iii/image/?pageName=1920&volumeId=12107&filterQuery=category:Great%20Migration%20Study%20Project
See this link to Anderson's article under the Associations section]. In the erroneous Ward genealogy Andrew is stated to be the Andrew Ward of Homersfield, Suffolk, England son of Richard Ward of of Gorleston or Homersfield and a fictional wife named Anne Guiville with a long noble lineage. Further Richard Ward is styled a knight which is a complete fraud. In Families of Old Fairfield Jacobus writes:
"....family of Richard Ward of Gorleston or Homersfield have been investigated. No such person as Sir Richard Ward, Kt. was found; no Anne (Guiville) Ward. No Gunville family existed in that vicinity as lords of the manor; and every reference given has proved to be fictitous. It is likely that these statements were the invention of a fraudulent genealogist, innocently accepted by members of the Ward family, through whom they found their way into the book."
The full section of the Ward family written by Jacobus can be read here].
J. Henry Lea and J. R. Hutchinson in The New York Genealogical and Biographical Record, Volume point out that Andrew of Andrew Ward of Homersfield, Suffolk, England son of Richard Ward of of Gorleston or Homersfield had died in 1615 and therefore couldn't be the immigrant:
"It is also noteworthy, in further contravertion of that erronious derivation, that we find in the Parish Registers of St. Mildred's Cornhill, London, the burial of a Mr. Andrew Warde, gent., 23 January, 1615,f who was probably the son of that Richard Ward of Homersfield and Gorleston, Suffolk, who was so lightly accepted as the American Emigrant without a scintilla of evidence beyond the Christian name.<ref name=NYGBR>J. Henry Lea and J. R. Hutchinson, CLUES PROM ENGLISH ARCHIVES: CONTRIBUTORY TO AMERICAN GENEALOGY in The New York Genealogical and Biographical Record, Volume 1 through present (New York, NY: NYGBS, 1913) 44:119-21</ref>
And then goes on to present strong evidence that the immigrant was related to Stephen and Joyce (Traford) Ward who had a son Richard of Faxton, co. Northampton, whose will in 1640 named various relatives, including a brother Andrew.
"If further confirmatory evidence were needed of the derivation of the Wethersfield people from the Braffield stock, we find it in the constant recurrence, among the American descendants, of the Christian names of the last mentioned English family, as shown in the will, every one of which is repeated and notably the very unusual ones of Ambrose, Andrew, Richard, Alice, Grace and Margery, while those of Stephen, Robert, Daniel and Isabell of the recorded pedigree also appear. All of them but Richard and Andrew being conspicuous by their absence from the Homersfield pedigree."<ref name=NYGBR>
The entire article CLUES PROM ENGLISH ARCHIVES: CONTRIBUTORY TO AMERICAN GENEALOGY in The New York Genealogical and Biographical Record in has been uploaded in PDF here]. [https://books.google.com/books?id=wtYUAAAAYAAJ&vq=Andrew%20Ward&pg=PA116#v=onepage&q&f=false
The article is also on Google Book].