There are some cases, and I can think of one surname project, that has a rare haplogroup, at least in western Europe and Britain, in which over 40 members share that haplogroup. The Genetic Distance of about 15 of the participants indicate that the common ancestor lived either 676 + or -100 years or at the time of the conquest, those that don't share the same surname or it's phoneme.
The best information to date is that these related persons distant ancestor lived in he North of England, in that region once called Northumbria.
Hereditary surnames did not exist until the poll tax of 1377, so people with a common pre 1377 ancestor would have different surnames, some based on occupation, others on patrynomy, location, physical characteristic. Regional accents and social class, as well as degree of literacy accounts for differences in spelling of the same surname ancestor after 1377 (in Britain or America).
Most of the members of the project have a Genetic distance that proves that they descend from a common American immigrant.
In fact all who share, whether they belong to the project or not, and only three persons to date have refused to join the project, but do share that DNA share a common ancestor who arrived in England about the time of the conquest. (not necessarily in the host of William though)
Given that, is it inappropriate to assign that provable, by DNA, common ancestor, a haplogroup?
This maybe one of the few cases of a provable YDNA hg being traced to an ancestor. With the caveat, there is more than one immigrant who arrived in the Virginia Colony in the 17th Century with the same surname, It is possible that these other persons also share the same ancestry, hence the same SNP, as the immigrant ancestor mostly claimed.
There are also members with the same Surname or Variant, that are not of the same rare haplogroup, but their DNA ancestor either came from a different region of the British Isles, such as the Midland Counties, or Norfolk County but shared the same occupation as the 14th century Northumbrian group , or the DNA ancestor was born in Africa.