She sounds like she is overtired which makes it very difficult for her to fall asleep. Newborns can only handle short amounts of wake time, usually somewhere around 45 minutes at a time (this includes feed time) before they need another nap. If you notice your DD showing tired signs (yawning, jerky movements, etc), wrap her up and put her to bed (or in your arms if you need to ). Try patting her to help her go off to sleep if she needs it, my DS2 loved being put on his side and having his back patted .

If she loves motion, you could try a baby hammock. We used one for DS1 because he only liked sleeping in our arms and it was fantastic! He loved being all snugged up in there and the motion that it gives. A sling is also wonderful.

Best of luck