The nine names of Godess Durga are as:

Durga Shailputri (Daughter of Mountain)

She is a daughter of Himalaya and first among nine Durgas. In previous birth she was the daughter of Daksha. Her name was Sati - Bhavani. i.e. the wife of Lord Shiva. Once Daksha had organized a big Yagna and did not invite Shiva. But Sati being obstinate, reached there. Thereupon Daksha insulted Shiva. Sati could not tolerate the insult of husband and burnt herself in the fire of Yagna. In other birth she became the daughter of Himalaya in the name of Parvati - Hemvati and got married with Shiva. As per Upnishad she had torn and the egotism of Indra, etc. Devtas. Being ashamed they bowed and prayed that, "In fact, thou are Shakti, we all - Brahma, Vishnu and Shiv are capable by getting Shakti from you."

Brahmacharini

The second Durga Shakti is Brahamcharini. Brahma that is who observes penance(tapa) and good conduct. Here "Brahma" means "Tapa". The idol of this Goddess is very gorgeous. There is rosary in her right hand and Kamandal in left hand. She is full with merriment. One story is famous about her. In previous birth she was Parvati Hemavati the daughter of Himvan. Once when she was busy in games with her friends. Naradaji came to her and predicted seeing her Palm-lines that, "You will get married with a naked-terrible 'Bhole baba' who was with you in the form of Sati, the daughter of Daksh in previous birth. But now you have to perform penance for him." There upon Parvati told her mother Menaka that she would marry none except Shambhu, otherwise she would remain unmarried. Saying this she went to observe penance. That is why her name is famous as tapacharini - Brahmacharini. From that time her name Uma became familiar.

Chandraghanta

The name of third Shakti is Chandraghanta. There is a half-circular moon in her forehead. She is charmful and bright. She is Golden color. She has three eyes and ten hands holding with ten types of swords - etc. weapons and arrows etc. She is seated on Lion and ready for going in war to fight. She is unprecedented image of bravery. The frightful sound of her bell terrifies all the villains, demons and danavas.

Kushmanda

Name of fourth Durga is Kushmanda. The Shakti creates egg, ie. Universe by mere laughing .She resides in solar systems. She shines brightly in all the ten directions like Sun. She has eight hands. Seven types of weapons are shining in her seven hands. Rosary is in her right hand. She seems brilliant riding on Lion. She likes the offerings of "Kumhde." Therefore her name "Kushmanda" has become famous.

Skanda Mata

Fifth name of Durga is "Skanda Mata". The daughter of Himalaya, after observing penance got married with Shiva. She had a son named "Skanda." Skanda is a leader of the army of Gods. Skanda Mata is a deity of fire. Skanda is seated in her lap. She has three eyes and four hands. She is white and seated on a lotus.

Katyayani

Sixth Durga is Katyayani. The son of "Kat" as "Katya". Rishi Katyayan born in this "Katya" lineage. Katyayan had observed penance with a desire to get paramba as his daughter. As a result she took birth as a daughter of Katyayan. Therefore her name is "Katyayani" . She has three eyes and eight hands. These are eight types of weapons missiles in her seven hands. Her vehicle is Lion.