If there is/was a hierarchy to the Bat-fam (or Bat-Army), I think it would go like this:
1. Bruce (with Alfred being direct support/counsel and Jim Gordon being the official law enforcement liaison/ally)
2. Dick (Bruce's second, and the one to step in and take over, if need be)
3. Barbara, Tim, and Jason -- all more or less are on equal ground
4. All the new kids -- Harper/Bluebird, eventually, Lark, Spoiler, etc.
I'd imagine that Babs, Tim, and Jason could certainly be considered captains, compared to the likes of Bluebird, Lark and Spoiler.