This is an Old Russian male name, which is used now as a female one. One of the etymological versions says that the name originates from the word "inna", which means 'stormy flow'.
She's very active; she is able to amaze people with courageous and original thoughts. Her actions are independent; she never conforms to other people's views. From her chosen man Inna expects complete honesty and openness. She loves children and she brings them up naturally. From childhood Inna can cook well and she enjoys experimenting with various recipes.