Most hospitals now in Melbourne TRY and keep mums and baby together in theatre and recovery when an elective cs. For an emergency cs this often does not happen. Most hospitals will not leave baby in recovery without a midwife with them.

I had 1 emerg and 1 elective cs. The elective cs I did just as you wanted and DS2 was with me in theatre, he then went with DH to the recovery room and I followed 2 mins after once they transfered me onto the bed, and he was on my chest or BF all the time and transfered to ward in bed with me. That was at Freemasons.

Good luck