Why are may daughter's texts showing up on my computer in addition to my own? This isn't happening on my phone.

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On your computer, open the Messages app then go to Message preferences. (Under the word “messages” in the menu bar. Then uncheck all the emails and phone number associated to daughter.




In the long run, we really should separate her completely from your account but that would require working with her device(s) and making sure she has her own AppleID so this doesn’t happen in the future.