We know of the children of Lord Shiva and Parvati,Subrahmanya born of Shiva, Ganesha of Parvati.
Veeabhadra is also considered as the son of Lord Shiva.
But Lord Shiva and Parvati has a daughter as well, says The Padma Purana.
Lord Shiva being of Yogic disposition, goes off to Kailash often.
Feeling lonely Parvati prayed the Kalpa Vruksha for a companion and thus was born Ashoka Sunadri.
She is considered as the child of Shiva along with Subrahmanya and Ganesha.
Since Lord Shiva frequently went out of Kailash to get rid of the demons and other negative forces, Parvati used to feel very lonely. So, She asked for a daughter from the wish fulfilling tree to get rid of Her loneliness. Soon Her wish was granted and Ashok Sundari was born. The girl was named Ashok Sundari because Ashok means without sorrow as she got rid of Parvati’s sorrow. Sundari means beautiful. Since the girl was extremely beautiful, hence She was named Ashok Sundari by Parvati. Nothing much is mentioned about her in most scriptures apart from the fact that she was present at the time Ganesha was beheaded. Ashok Sundari got frightened by her father’s act and hid behind a sack of salt. When Parvati came to know about Her son’s fate, She became extremely angry. Out of anger She also cursed Ashok Sundari to become a part of salt. Later when Ganesha’s head was restored by Shiva, Parvati and Shiva revived their daughter and pacified her. Hence, Ashok Sundari is also associated with salt without which food would be tasteless. Apart from a few legends, the existence as Shiva’s daughter is not known by most people. However, in some parts of India few folklore are popular like in Bengal it is believed that Goddess Manasa was a daughter of Shiva who was born accidentally when Lord Shiva’s semen touched a statue which was made by the mother of snakes named Kadru.