Let's be realistic. John Howard was summoned to Parliament in 1470, so becoming Lord Howard. All the titled Howards are descended from him.
But the surname had been hereditary for centuries already. So John had 1st cousins, 2nd cousins, 5th and 6th cousins, all called Howard, scattered across the landscape. They didn't have money and they didn't get titles.
By the 17th century, the cousins had multiplied. They were yeomen, husbandmen, indentured servants, casual laborers, vagrants. All called Howard, but not called Mr, let alone Lord. Some of them emigrated, but not the posh ones, unless they were sent as Governors.
But the research tends to be along the lines of "the Howards were aristos, so let's look at the aristos and squeeze in the immigrant."