typed long post, then it crashed !
induction can be a lenghty process, taking several hours at least, if not days.. if the body is not ready for labour, then there are processes to be followed
a gel or pessary to ripen the cervix, which can start labour, if not, then the waters will be broken once the cervix is ripe, and if that does not start things, then a drip will be given. this can all take place over 12 - 24 hours or more
it is also normal to send mums home to labour and rest and be in their own environment when not in established labour, which is 3 -4 cm with regualr strong pains. labour and ante natal wards don't have hthe space or staff to admit every woman in the early stages of labour
if she is in labour now, she will hvae pain relief
it's not 3rd world, what you describe, it's normal
it's not unusual for a first labour to be at least 12 hours, if not more, and that does not include the part before 3 -4 cm
have you spoken to her, do you know where in the process she is up to ?
if you can find out, i'm sure you'll feel better