B names

I have so much to talk about with this pregnancy, but not a single minute to do it, or the energy for my brain to turn this big jumbled mess of thoughts into sentences.  I don't know that I've really even wrapped my brain around all of this yet.  Like the fact that I am eight weeks along and my pants don't fit.  Or the fact that for a couple short weeks I'll fall into the "two under two" category.  Mind=blown.

What my over exhausted brain can discuss though is my list of baby name requirements.  I have one name picked out, a boy name, but its one that the husband doesn't care for.  I'd really love something with meaning behind it... something really unique.  But for some reason, even though I constantly think about names, none come to mind... except the one.  So here are my requirements, do you have any suggestions?

1.)  I'd like it to start with the letter B.  I know, I know, that can be annoying, but we are only going to have two, not twenty.
2.)  It can't be another "Br" name - something like Brady and Brandon is too rhyme-y and just bugs me.
3.)  If not the letter B, then something that matches with Brady in some way.  Maybe they would both end in the letter y or something.
4.)  Have a really great meaning.

Well, any ideas?