hi there, not sure if my experience the same but thought i'd share. my freddie was a very sicky/vomiting baby once solids started, he'd ususally be sick (not always projectile), but sick none the less after every meal & after every bottle. he also poo'd for England (5/6 times a day every day) i just thought thats what babies did. he started nursery & going to grandparents from 9 months & he's regularly be up at night times screaming & pulling his legs up to his chest, in a colic type of pain, his tummy was rock hard & he's let out the odd fart here & there, i'd give him warm water to drink & rub his tummy etc. didn't know what it could be, so started excluded certain foods from his diet. any citrus fruits: pineapple, orange, kiwi, melon etc & limited the amount of dried fruit: apricots/prunes etc too see if it would help. also tried to cut down on the amount of milk in one go. it didn't really hlep much so when he went for his 1 yr check, we were referred to a specialist, who couldn't find anything at all wrong, i switched to semi skimmed milk which did help a bit & continued to exclude or only give small amounts of acid type fruit. also i never let freddie suck on a sippy cup unless it was full, so as to avoid sucking in wind (i'd read this was a possibility). Anyways, being sick after every meal & pooing literally 5/6 times per day (sometimes with whole bits of veg & fruit in it) continued, til he was 18 months & then it stopped (as the Dr said it might). their tummys are not fully developed til nearer 2 years, so many things can upset them for no particular reason. Freddie is totally fine now, no more sickness & now only poos once a day.
hope this helps, not to say your child isn't allergic, but it may just be something else. it was Benandbellasmum who gave me a list of certain fruits that could cause gripe etc.