Pretty much all the bunnies names are Whovian – we are both huge geeks and cosplay fans.
River is from River Song/Melody Pond. Both DH and I caught that River was Melody when we first heard both names. It was obvious to us, from our geek natures. Melody becoming Song from my music education. Pond becoming River from Olli’s engineering education, he teaches a class on engineering failures and several of his “favorite” case studies involve bridge and dam failures because they start from seemingly unimportant changes that don’t even relate to construction.
Doctor is obvious. When I found them, they were clearly bonded to even this idiot new bunny owner. So River needed her husband.
Idris from the TARDIS. Because the TARDIS shows up any time, any place. Which she did. We’d already started the Who theme, so we stuck with it.
Addie is the half Who. We wanted to name her Clara or Oswin, but she stomped at us to being called Clara and Oswin just wasn’t fitting her. Addie was suggested in my panicked, just found bunnies thread for River, then again with Adelaide Brooke being a Tenth companion.