It is normal. DS was a reflux and colic baby and was pretty miserable for the first 3 months. For us at around 14 weeks he turned a corner and has been a mostly happy delightful baby since. At 3 months old I wouldn't expect her to be able to self settle. Sure some babies do it but most still need the comfort of Mum. I would forget all about any form of controlled crying at this age she is too young. The biggest thing I had to learn was to surrender to DS's needs. He was a terrible night sleeper and I went insane with trying to find ways to get him to sleep longer stretches at night and it wasn't until I stopped fighting it and accepted he needed me to re settle during the night that it got better. Just remember you can't spoil a young baby so if she needs to be rocked to sleep rock her and transfer. Even now at 8 months DS still sometimes needs me to help him get to sleep during the day so I'll rock him or lay down and cuddle him to he is asleep. I know how draining it is when they just seem to cry all day long but hang in there it does get better