Hi, Bill. Sorry I'm late back to the party. Been working very odd hours.
To Julie first: I didn't blink at the possible FitzAlan connection. I assumed Bill had some reason to think it possible, and "Fitz" was a Norman patronymic convention that was introduced to England along with William the Conqueror. 'Course you probably already knew that. From the French fils, or son. In some cases it was even used as a matronymic. Very confusing. Don't you wish we could go back and tell all the patro- matronymic users what a mess they were making for future genealogists?
Had to look this up: It was Alan fitz Flaad--who came to England with Henry I upon his succession to the crown--that first started the FitzAlan surname. I don't pretend to understand the linkage to the House of Stewart. That's all 11th and 12th century; I've never had a reason to go there.
Bill: For starters, you can upload your MyHeritage raw data here: https://cladefinder.yseq.net/. Our autosomal DNA results are not really a substitute for the various types of for-purpose yDNA tests, but what this can give you is an accurate estimate of your haplogroup...probably at a middling level down the hierarchical haplotree, but that can be helpful. It can't be used as a form of positive evidence, but it can be used as negating evidence. In other words, haplogroups that are a millennium old can't suddenly change along a family line.
As Becky mentioned, there are two Stewart group projects at Family Tree DNA looking at the surname's yDNA. One is a general surname project and has almost 2,000 members: https://www.familytreedna.com/groups/stewart/about. The other has over 1,100 members and is titled "Stewart (royal)": https://www.familytreedna.com/groups/stuart/about.
That latter project offers some interesting information--which I can't confirm, so I'm trusting--that makes uploading your MyHeritage data to the YSEQ Clade Finder potentially useful:
"Testers may join this project if they are believed to descend from the family of the Hereditary High Stewards of Scotland, often known as the Royal Stewarts. Male testers will belong to the L746/S310 subclade of the R-M269 haplogroup, and they will test positive for a number of specific SNP values, including L744, L745 and L746."
I don't know which particular markers (or SNPs, single nucleotide polymorphisms) are examined by MyHeritage during their autosomal microarray testing. I could research that, but it would take some time. However, the advantage you have is that the project has delineated a haplogroup subclade for the royal Stewarts.
Of note is that the FTDNA project is using the nomenclature not from FTDNA, but from YFull. Go figure. All the naming tedium gets complex, but on the plus side, the YSEQ Clade Finder uses the YFull database, so you should get apples-to-apples labeling there. Here's that subclade at YFull: https://www.yfull.com/tree/R-L744/.
Up at the top of that tree-like chart you'll see a whole string of tabs starting with "Home" and ending with "R-S775." These are, in hierarchical order, the parent clades of R-744/746/S310.
So... Even if MyHeritage didn't test any of the specific SNPs mentioned by the FTDNA project, they may have tested one upstream. Starting in order of most recent, those would be S775, CTS2501, DF13, L21, S461, and P312. P312 is five branches deeper than the extremely common R-M269, and I'm fairly confident that the MyHeritage data would get at least that deep in the tree.
If your MyHeritage data show a difference diverging from any of those branches (and you may have to look at the synonymous SNP names at the branches to make full sense of it), it looks like you can be reasonably confident that your patrilineal line is not from the royal Stewarts. Thus the negating evidence. Can save you a lot of time and money if that's the hypothesis you want to pursue. For example, I'm R-P312, but my next branch down the tree is DF27 not S461. So I can tell right there that I don't match with the Stewarts.
Well, P312 formed sometime around 4,800-5,000 years ago, so I would have a common ancestor with the Stewarts then. Probably doesn't put in line for the throne, though.
If you want any second opinions about the results the MyHeritage data provide, just post again here and I'll see if I can be of any help. If you don't get negating evidence from the procedure--meaning you may still be a royal Stewart--we can also talk about other testing options. The biggie (no pun intended) is the Big Y-700 at FTDNA, but depending upon your results there may be a much less expensive second step before you decide to spring the $450 for the full sequencing.
Oh... And thanks, Jean. "I really did understand all of it" is not my typical reaction. And thanks to the notorious DAH for the best-answer star!