Dear gsrao,

according to MOI regulations:

"7. Visa for New Born Babies

This visa is provided for new born babies who are less than 3 months upon their arrival along with his/her mother at the entry border.

Requirements:

The baby should have a passport or his/her name should be added in the passport of mother or father.
To produce original birth certificate of the baby
The father and mother should have a valid residence permit in Qatar.

Place of application submission: Borders Passports

Fee:
Visa Issuance Fee: This visa is issued free of charge
Fine for overstay: QR 10 per day of delay after expiring the specified period which is two months outside the country and three months inside country."