Hearing their cries for help at around noon yesterday, neighbours rushed to their house and immediately took them to Memari hospital.
The duo were later shifted to Burdwan Medical College and Hospital where both of them succumbed to their burns yesterday, they said
The woman and the daughter were identified as Manira Yasmin and Kulsun Khatun respectively, residents of Magura village under Pandua police station limits.
The father of the deceased, Nurula Migga, lodged a complaint alleging that his daughter was set ablaze for dowry, the police said.
The woman's parents-in-law were arrested.
Her husband, works in a jewellery shop in Hyderabad.