Backup butter birth

So my neighbour midwife-colleague went on vacation towards the end of March. She had one mum left to deliver that wasn't delivering, so I ended up taking care of her because neighbour was off. She was overdue and I was to induce her. Well, when I took her in to induce her, her cervix was nowhere near ready (despite a prostaglandin gel insertion), so another consult for another gel, and the OB gave her a 2mg (double dose, as the single dose hadn't changed a thing). The plan was to induce her the following morning. She did start a bit of cramping, but I didn't hear from her all day. The next morning at 3 she paged with good labour, and I went to her home and found she had progressed only one centimetre: she was now two centimetres and the cervix still quite thick, but not as thick as before. My first reaction when feeling that type of cervix was to put her in the bath, but as I listened to baby's heartbeat, her contractions seemed super-strong, and they were coming every 2 to 3 minutes lasting a good minute, so I decided that we should head in. Also, she was GBS+ and I thought if we headed in a little early we'd have time to get the antibiotics in her. Arrived at the hospital, got her admitted, tried to start the IV, and as I poked her, she gave an involuntary push! I took the needle out (I hadn't hit the vein yet), and we delivered a baby! (The student got to assist in the delivery, which was great, she did very well). She went from 2cm to delivery in about an hour! Births that go that well I like to call "butter births" : smooth and yummy.