I finally found information regarding the rebuilding of the kernel on the BBB (Beagle Bone Black) - turns out its a Debian Wheezy distribution. The basic information on doing this is at http://eewiki.net/display/linuxonarm/BeagleBone+Black. The instructions pretty much matched reality (with alterations for the directory structure I'm doing my development in).
Note that, as of this writing, I have not tested the build kernel - I can't seem to find all the MicroSD chips I used to have. Sigh.