The most normal thing for my DD from about 3 months was to sleep all night. That being said, she would wake if she was sick, teething or sometimes just going through phases. Sometimes it was once a night other times more. She was also exclusively BF.

When she did wake we would try to resettle her and feed if that didn't work.

It is interesting what you said about her sleeping better when she has longer day sleeps. Maybe you could work on her sleeping more during the day? Maybe a long walk in the pram?