What does the name Konata mean in English?

Well,

'Kon' means soul or spirit and 'Ata' means revenge or enmity.

So, it's meaning could be 'Revengful spirit'

'Ko' Means child and 'Na' means excocism and 'Ta' means be proud or be lonely

Another meaning would be Lonely child of excorcism.

Hope this helps! :)