Hello & Welcome to Just Answer,
I'm Greg and will do my best to assist you today.
Sorry to hear of any issue you are having with your phones.
To help you with this issue, may I ask:
1) What phone service provider (phone company) you have for this phone line?
2) Does your neighbor's Caller ID appear on the displays - when they call your number (after 2 rings)?
3) Does their number appear in the "Call Block List" - AFTER their call has come in?