The husband, idenitified as Nepal Devnath, has been arrested.
According to police officials, the deceased Savitri Devi lived in another area with her two children following problems with her husband.
"On Monday night, Devnath, visited Savitri's house in an inebriated condition. They had a heated arguement and in a fit of rage Devnath took out a pistol and opened a fire at Savitri from point blank range. She suffered a bullet injury in her abdomen and collapsed while Devnath fled from the spot," police said.
The son of Savitri told the police that he had a suspicion about his father behind the incident following which Devnath was detained by the police.
During the interrogation, he broke down and confessed to his involvement in the crime, police said.
Police said Devnath runs a small factory manufacturing iron wire.