The incident occurred on Monday night in Abupur locality under Niwari police station of the district.
The police said Noor Mohammad, a resident of Abupur was married to Rukhsar about four years ago. Rukhsar gave birth to two girls, who are now aged three and two.
About a month ago she gave birth to a third girl child in a Delhi hospital. But she abandoned the baby in the hospital and reached her father's house. During this period her in-laws cared for the baby and took her home after being discharged from hospital.
After a month, on Monday Rukhsar reached her in-laws' house along with three-four persons and asked her husband to give her the newborn to take with her to her parental home.
The husband and his family refused to do so. She then decided to stay at her in-laws' house. At night, she strangled the child to death and fled. In the morning the family rushed the child to a nearby doctor who confirmed her death.
Her husband alleged that his wife was involved in an extra-marital affair so she didn't want to live with him.
"The matter is under investigation" said the SHO Niwari police station. No arrest has been made so far.
( With inputs from IANS )