Re: is this normal???
It may be that she is just her unique self. Some babies STTN early on, others never do.
Have you experimented with crib alternatives? When DS got so big that it wasn't comfortable to have him in our full size bed anymore, we removed the rails from his crib (which he never used) to make it a toddler bed and pushed it right up alongside our bed and used a regular bed rail on the other side to keep him from falling out that side. That allowed him to just scoot over to me to nurse, and I could either scoot him back when he was asleep or scoot us both over nearer his bed if he was waking easily. We have also had some success with the mattress(es) on the floor approach.
I'm assuming you've done some experimenting with positioning while night nursing... One of the things that I discovered worked for my particular back troubles with side lying nursing was having a pillow or two behind my back to offer some support from that side. It allowed me to relax my back muscles in ways that I evidently had not been able to without them. I also find that I have to have plenty of pillows available to move around for my head and neck, as the position that feels best for me is always changing.
Mama to Lorenzo, born 4/25/2007. NICU graduate, Gastro-Esohapgeal Reflux, Obstructive Sleep Apnea, Sensory Processing Disorder...alive and thriving thanks to breastfeeding and co-sleeping.
Those who say it can't be done should not interrupt the person doing it.