"Neither" Or "Nor"
The use of neither with another negative, as in:
I don’t like him neither.
He’s not much good at reading neither.
is recorded from the 16th century onwards, but is not considered Standard English. This is because it is an example of a double negative, which, though standard in some other languages such as Spanish and found in many dialects of English, is not acceptable in standard English. In the sentences above, either should be used instead. For more information, see double negatives.
Also, when neither is followed by nor, it is important in standard English style that the two halves of the structure mirror each other:
She saw herself as neither wife nor mother.
She neither saw herself as wife nor mother.