One publication even went so far as to invite casino oddsmakers to determine the likelihood of each royal-approved name. (It's not a long list.)
If it's a boy, the gambling gurus say James and Arthur are the frontrunners.
Both are suitably king-like monikers (though baby #2 will most likely never take the throne), though some have pointed out that if Will and Kate go with Arthur, their kids will have the same name as Rob Kardashian's sock company.
If "The Spare" winds up being a girl, of course, the name might be somewhat easier to predict.
Diana is the first choice of bookies and famed royal biographer Andrew Morton confirms that Will and Kate will likely go in that direction:
"Close friends of William and Kate have told me that if it's a girl, they want to name the baby after Diana," says Morton. "They're not too thrilled with the thought of it being shortened to Princess Di, but it won't change their mind."
The royal couple is also reportedly worried about negative feedback from Will's dad and grandmum, as there was considerable tension between Di and the royals toward the end of her life.