Blue Ivy Carter is a unique name--that's literally unique, not "appendix-of-the-baby-name-book" unique. Google it, and almost all you'll find is scary Beyonce/Jay-Z photoshops and age progressions, not many plants or patterns (although that's fixable with some Google-fu, if you ever really needed to know what other Blue Ivy paraphernalia is out there. In which case you might be Beyonce and Jay-Z's lawyer, so hi.) In other words, there isn't yet a burgeoning market of unofficial Blue Ivy merchandise--nor will there likely be soon, as the couple filed a trademark to protect Blue Ivy Carter's name for a baby-goods line. Baby carriages, diaper bags, baby cosmetics (no, not necessarily makeup-makeup; could just be talcum powder and the like)
This is not the post, incidentally, for anyone to go on an ill-advised rant about vanity and frivolity and other lengthy celebrity disses. Being pop, hip hop and the Internet's favorite baby ("sorry, Junior, they already ruined you"), means people are equally likely to want to hug you as monetize you. That might have already happened to Blue Ivy, as two people tried to trademark her sorta-name first: "Blue Ivy Carter Glory IV" for a fragrance line, and "Blue Ivy Carter NYC" by fashion designer Joseph Mbeh, who the Washington Post reports said he was planning on registering first, pitching Beyonce and Jay-Z a line of children’s dresses, skirts, and underwear later.
One last thing. This isn't directly related to Bey and Jay, but if you're like me you'll find it interesting:
The office gets thousands of applications a year —398,667 in 2011 — and most end up in what we’ll call the normal (slow) line. But now and then a name or phrase emerges in the culture — “Shock and Awe,” “The Situation,” “Occupy,” “1%,” “99%” — and the office sees a sudden spike in filings.
The normal who managed to trademark "The Situation" first would be a hero. (Not 1% or 99%, though. That person would just be an opportunist.)