NAMES INTO LATIN

James = Iacobus

William = Guglielmus or Gulielmus

I realize that you have asked for "WILLIAMS", not William.
Since that is a family name, it should probably be left as is.

However, for fun, you may want to "Latinize" it as Gulielmianus,
identifying a member of the clan begun by William.

There is no accepted translation of "Stuart" in Latin, unlike James or William.

When the Roman encountered foreign names they treated them in one of two ways:

1. They tweaked them into something they were comfortable pronouncing. The closest a Roman would have got to "Stuart" would probably have been "Stevartus" or "Stevardus" (remember that the Latin "v" had a "w-" sound).

2. Sometime they simply translated names that had a straightforward meaning into Latin. "Stuart" means "steward" (the ancestor of the Stuarts had been High Steward to the kings of Scotland). The Latin for "steward" is curator. However, the two words are not true equivalents, because while in mediaeval Scotland a steward in a royal or noble household might be a nobleman or gentleman himself, in Roman society a household steward was usually a slave. Also, to anyone but Latin scholars the word "curator" just suggests someone who manages a museum! So you'd probably be better off with "Stevartus".

Good catch, syntinen.
I completely missed the "STUART" request.

THX VERY MUCH GUYS YOUV BEEN REALLY HELPFULL