How many kids did Hecate have and what were their names?

Answer 1

Skylla (with Phorkys; although Ketô/Krataiis and Trienos/Charybdis and Lamia is also credited to being her mother, her father is also argued to be Poseidon, Triton, or a daughter of Typhon and Ekhidna)

Kirkê, Medea, and Aigialeus (with Aeetes; although Kirke and Aeetes are mostly considered to be sister and brother their father being Helios and mother Perseis, Medea is further the daughter of Aeetes her mother being the goddess of knowledge Idyia; Aigialeus/Aegialeus/Absyrtus/Apsyrtus is the son of Aeetes that was murdered by Medea; his mother given to be Ipsia/Idyia/Asterodeia/Neaera/ Eurylyte)

Hecate is further argued to be a virgin goddess because of her association with the Underworld and Artemis.