I have several reference works on English kinship terms (in both England and America) and I'm using Ward Goodenough's standard work here (so unless it's changed recently, I think he's correct - he did tons and tons of research; since I studied the subject in graduate school, I have a hard time just going to "the internet" for an answer).
If William is James's first cousin, then James is the baby's second cousin, no removals. Removal refers to going down one generation. So, my mother's first cousins are my second cousins. Their children are second cousins once removed. My own first cousins' children are my first cousins once removed and my first cousins' grandchildren are my first cousins twice removed. The first cousins of my grandmother are my third cousins. Their children are my third cousins, once removed. In this way, starting with the person who is using the terms (Ego in kinship terminology), we have an easy way of counting up the generations of our own lineal kin and then down the lineal generations of our non-lineal kin (cousins).
Anyway, that's what my books say and that's also how most people I know who are into genealogy use the terms.
Now, it's possible that American and British use of kin terms is diverging, but in the 1950's-1970's when the data I describe was collected (based on ethnomethod aka what folk experts such as genealogists were using), that was how it worked. This is also how my Aunt E. used the terms, and both of my grandmothers (one of part British descent, the other part Scottish).
Since I really did know my grandmothers' first cousins, these terms were relevant to me. Anyway, I'd be interested to know if other people's families really use these terms extensively and what actual research there is besides Goodenough and his many followers. It's true the work was criticized as being overly New England/England based...and it's possible there were already regional variations in place. Not sure how we establish authoritative use of terms in that case.
Back to naming: if Alexander is in the running, might not Peter and Paul also be? I do not think they'll name him John (or Timothy or Harold).
I do wonder how Charles and Diana finally settled on William as the first part of Prince William's name. Anyone know?[/QUOTE]
It is said was
1. name not in current use in the immediate family
2. named in honor of Prince William of Gloucester, the queen's cousin