My 9 month old

For the past 5 night I haven't been to sleep my child is making me stay up with her until 4 or 3 clock in the morning with her just screaming for hrs I give her formula she not hungry I give her a teething toy does not want it I lay her with me just screams and scream until she makes her self tired and then goes to sleep on me im a first time mother and idk what im doing or if I doing something wrong