Purulia District Magistrate Tanmoy Chakraborty said the girl and her mother were injured when their kutcha house at Chakaltore village, about 20 km from here, collapsed in severe storm and heavy rains last night.
The girl died today, he said.
Purulia was battered by heavy rains triggered by the cyclone and storm that raged through last night.
The district received 165 mm of rainfall since yesterday - the highest in several decades. A few hundred houses collapsed due to the rains, the DM said adding government relief has been sent to the affected villages.
There is no electricity in Purulia town since yesterday morning due to the storm and the rains, which has damaged a large number of Durga Puja pandals and dampened the festive cheer.