Mucus plug

Hi second time mums, just curious when did your first and second baby came out? My first one came out at 36w5d. I’m 36w now and some of my mucus plug came out. Really hope that my baby can stay inside longer than her brother. If I go down to a&e will they give me HL cos I’m under subsidised route. Is there anyway I can consult the gynae there but without making a trip down?