Hi, and thanks for your medical question on eHealth's Ask a Doctor forum.
Since your 4 week old daughter throws up after each feed, does not burp at night, gets hiccups after feed, and cries after two hours after feed, there is a chance she is taking in too much air during feeding. This causes her to have a colic which irritates her diaphragm and she has hiccups. This also makes her throw up. If she is being bottle fed, check and see if the hole of the nipple is too big for her to manage. Also she should be held at 30-45 degrees in the cradle of the arm to be fed. After feeding she should be held at your shoulder for burping—some infants take about 30 minutes to burp.
The other possibility is lactose intolerance. You may have to change her formulation and see if this helps. Usually a rice or potato based milk helps.
However since a confirmed diagnosis cannot be given on net please consult her pediatrician once. Hope this helps. Take care!
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