good lord, of course it was not your fault !! at all ! please do not think that
sounds like you had not a lot of support ? urge to push can come before you are fully dilated, i am sure it can come before you are really dilated, in which case, teh midwife should have helped you change positions, breathe the pushing away, rather than giving you an epidural....IMHO....
if you try to push before you are fully dilated, or your body simply starts pushing for you , you can make the cervix swollen which can impede the descent of the baby
are you sure you were 1 cm dilated?
really glad you are thinking of a VBAC , would be a good idea to get a clear picture in your mind of how you want this birth to be ! never to late to start visualising
IMO< would be best to stay at home as long as you can, and cope with the pain, with baths, keeping active and moving...
might be that your first baby was OP, which can lead to an intense labour, but slow dilation, and being upright, active, and moving can help get baby in a better position to be born..
if the head is exerting equal pressure on the cervix, then dilation can be slow...
it was not your fault
if you feel supported and are able to listen to your body in labour , rather than being out of it, then you can take the cues from your body
not that i think you can only have a good birth without pain relief.. i had a VBAC with pethidine and gas and air, but midwife took g&a off me , as baby was OP and i was getting too relaxed, and needed to stand and move with the contractions....