Cricket is obviously a nod to the jumpy little insect. There aren't too many other people bearing the name, other than a character on Young and the Restless who used it as a nickname, and a talking doll that was popular in the 1980s. It has a cheerful vibe to it, even if it is a bit offbeat to name your kid after an insect.
Pearl is another word name, but with a much more elegant meaning—it makes a lovely middle name (and could even make a great first name, if Cricket decides her name is a bit too offbeat for her personality).
Obviously, pairing Cricket with Birdie is kind of a fun little naming thing—though is it worrisome that crickets are often prey for birds? Personally, I can't ever see myself picking Cricket for one of my children, but with that family set—and the California/celebrity vibe, it works.
What do you think of Busy's baby names? Is Cricket cool and fresh, or too far out there for your taste?