The attack took place on Friday evening at village Dangerpora of Sopore in Baramulla district, about 52 km west of Srinagar city, the summer capital of Indian-controlled Kashmir.
"Four people including a two-year-old baby girl were wounded last evening after unidentified gunmen barged into their house and fired upon them in Dangerpora, Sopore," a police official said.
"The wounded persons were immediately referred to a local medical facility, from where they were referred to Srinagar hospitals."
A government official said arrangements were underway to airlift the critically wounded two-year old baby girl to New Delhi for an advanced treatment.
On Thursday, a non-local labour was wounded after he was fired upon by unidentified gunmen in the area.
Police suspect the involvement of militants in the attacks.