Was the baby a low birth weight, if so it may account for why she/he needs a bottle so often. with my 2nd child i have to feed here every 2 hrs, it felt constant because they drink so slow then need winding, it seems like 30 mins then time to feed again.
if weight is not the issue, more likely the baby is prob using the bottle teat for comfort to suckle on?
babies that young usually have2- 3oz at a time unless the baby is big maybe 4 oz at each feed. feeds are usually between 2-4 hrs depending on the birth weight.
baby may need burping more than once could be trapped wind, burping can take time too, parents need so much patience (I'm not looking forward to it again lol). my son had terrible colic and hed scream constantly and milk always kept him quiet, he didn't need it though. but his colic was more obvious, he had projectile vomit i used to have hand towels as bibs for him it would go across the room not joking.
your child may not vomit but could still have colic? need extra winding?
has the baby been doing regular poops with all that extra feeding if not may be causing constipation?
it's all trial and error with kids, it's like being at school again looking for cause and effect lol Hang in there OP try everything and give the health visitor a telephone call they don't mind at all.