Grab some Infacol drops when you are at the chemist.
Sounds very much like colic.

Also, bare in mind at that time in the evening "cluster feeding" is common. Meaning she will feed often for a few hours before bed, not long maybe but often.
Anyway, try and feed her sitting more upright, burb regularly. When they get tired they can get lazy with their attachment, which can lead to colic, so make sure she is attached properly.

Also, remember that at her age 'sleeping through' equates to about 5 hours, so if she is settled midnight to 6am she is a dream lol But you will find her 'bedtime' will get earlier she will settle sooner as she gets older (and will start waking in the wee small hours most likely).

My DD would go to sleep at about 8.30 every night, but not to bed as such until midnight. This lasted well past 3months, almost to 6 months. Do you co-sleep? Can be an awesome way to get some more sleep for both of you, will settle her more easily and help her get into a sleeping pattern.

HTH (sorry if it is rambled, it is getting late! lol)