Hodgson quotes sources, so we can be certain that a Matthew was lord of Whitfield in 1371 and entailed his estates on his 7 named sons Matthew, John, Robert, etc. And the 2nd of the 7 married Alice de Mitford in 1386.
Seems like the boys must have been quite young in 1371, as John didn't marry until 1386, and yet Matthew wasn't expecting any more. This'll be linked with no wife being mentioned.
So I'm guessing the eldest of the 7 was born say 1355-60. Hodgson thinks he was sheriff in 1433 and still active in 1438, but I think he'd have been too old.
It's the 2nd son John who marries the heiress in 1386, with complicated financial settlements, in which the eldest son Matthew isn't mentioned, through the other brothers are all listed. So I figure Matthew the eldest son was dead by then.
The Matthew who was the sheriff in 1433 could be a son of John and Alice.
Then his son could be the Matthew who married Margaret Lancaster.
But this profile
says a Robert was lord in 1390. If that's correct, I can only think John died sp not long after the marriage, and this Robert is the 3rd of the 7 brothers. Then Matthew the sheriff would have to be Robert's son.
Only guessing now though. Without knowing what sources are in the immigrant book.