I'd say she's been more involved than Gambit or Rogue because of Shogo and trying to parent while on a mission. But they've all just been kind of background characters. In terms of development, the only real moment she's had was one surprising display of power brought on by her maternal instincts to defend/protect Shogo.
Shogo's Otherworld self/counterpart is a big dragon. Betsy communicates with him through cute little psychic drawings haha. I'm behind a few issues so dunno his current status.