When either and neither are used as conjunctions, they're generally always paired with or and nor.
Either/Or and Neither/Nor is pretty easy to mix up if you aren't careful. Just remember that you use Either/Or when presenting or discussing a choice, and Neither/Nor when you're negating two parts of a sentence.
- Either she is or she isn't going.
- Neither Tom nor John knew what to do.
- Either Mandy is sleeping or she's ignoring my calls.
- Neither Joan nor Olivia answered the phone.