Is it OK to say or to write to somebody: My mother and I will have you in our home. (meaning that that person will be a guest in our home; is the phrase "have you" correct here?)
It is a rather unusual phrasing that seems to suggest more than just a normal visit to stay in someone else's home. To me it sounds rather as if this person has been ostracised by others, and there is doubt about whether he/she would be welcome in your home, but you are saying that he/she is allowed to come, but not saying this in the most friendly way. My guess is that most probably it is not suitable wording for your situation.
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It is a rather unusual phrasing that seems to suggest more than just a normal visit to stay in someone else's home. To me it sounds rather as if this person has been ostracised by others, and there is doubt about whether he/she would be welcome in your home, but you are saying that he/she is allowed to come, but not saying this in the most friendly way. My guess is that most probably it is not