Having searched high and low, I can find only one reference that says that the immigrant Matthias was the son of Richard Farnsworth, however it provides no citations connecting the immigrant to the father: Farnsworth Memoral II, 2nd edition, revised 1974 by R. Glen Nye, original author Moses Franklin Farnsworth, published 1897. I was not able to find any further record for a Matthias Farnsworth in England after his baptism, but perhaps the records are not indexed.
Certainly there is a baptism in Eccles in 1615 of Matthias Farnsworth, son of Richard. Certainly there are sources that show that a Matthias Farnsworth was an early resident of Lynn and Groton. Other than the reference mentioned above, after diliigent searching I have found nothing to connect the two - other than the name and timeframe.
I think Farnsworth-126 should be disconnected from the parents shown. I would recommend a Research Note section be added showing his unproven parents and their "source". That way, if later research finds solid documentation on their relationship, it can be added. I also recommend PPP'ing the profile of Matthias (the immigrant) to ensure that parents are not added back without reliable sources.
For that matter, I see no reliable sources for the name of Matthias' first wife, Mary Abigail (Unknown) Farnsworth and recommend she be renamed Unknown Unknown unless there are reliable sources for her first name.