Since you said that you can trace your line to Sir Thomas through Haute Wyatt I assumed that you had some type of documentation.
I tested with both FTDNA and SMGF and I have also loaded my results with Ancestry and Ysearch.
Here is some info for you and others :
For those of you who have participated with any Y-DNA analysis company, you can manually load your Y-DNA data to Ysearch.org.
For those of you who have participated in the Family Tree DNA test, you can automatically upload your Family Tree DNA data to Ysearch.
Ysearch is a division of FTDNA and is a free service. You can compare DNA results to anyone else in the database but it does not calculate generational distance & probabilities.
Here is their web site : www.ysearch.org
There is a monkey-wrench for many of us.
I don’t mean to be a skunk at the party, and Dr Steven Perkins can correct me if I am wrong, most of the Wiatts/Wyatts who have tested have a haplogroup of R1___
and some have the haplogroup of I1.
Wiatts/Wyatts in group R1 are not related (within 10000 years + ) to those in I1; at least not through their male line.
What this means is that men in Group in R1 and those in I1 can NOT be both descended from Hawte. I suppose that it is possible that men in neither group are descended from Hawte.
There are three Wiatt/Wyatt clans who have tested with FTDNA that have been matched with each other in a I1 sub-group.
What makes their group unique is that each family has
documentation that puts their male line in Gloucester County, Va in the 18th century. Each family claims a different son of Conquest as who they are descended from.
The family that claims that they are from Francis (b. ca 1670) has very, very good documentation.
Other than these three families, I know of no other
Wiatt/Wyatt family in the world that can place (with documentation) their ancestors in Gloucester County in the18th century or earlier.
Of course these facts do not prove that these 'I1' families are descended from Hawte but I know of no Wyatts in the R1 group that has similar documentation.
That is what I think I know.
FYI in case anyone is interested - Alex Wiatt is publishing an updated edition of his 1980 book "the Wiatt Family of Virginia" soon.