___ rita ___her mother know my address .

___ rita ___her mother know my address .

Not only rita and her mother know my address.
不仅丽塔和她的妈妈知道我的地址。（其他人还知道）
或者
Both Rita and her mother know my address.
丽塔和她的妈妈都知道我的地址

Both.....and
.
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Either rita or her mother know my address.追答刚刚不对，用neither nor好像更恰当一些，know没有用第三人称单数，那么用neither ... nor，两人都不知道

Both Rita and her mother know my adress.
因为句中动词形式是know不是knows，所以主语应该是复数。所以用Both...and
如果用单数knows,则为；Either Rita or her mother knows my adress.