Newborn insurance confusion

Looking for some clarification! I gave birth last month and all of my daughter's hospital charges as well as initial pediatrician visits were billed under my insurance as I expected for the first 30 days after birth. The plan was for her to only be added on my husband's insurance plan, and so we waited until we received her SSN when she was 3 weeks old and he added her to his plan. We just received her coverage card and it has backdated her coverage to start from her birthday. She is no longer on my plan since it's been over a month since birth. Since all of her charges so far have been processed under my insurance, do we need to go back and reprocess everything under my husband's insurance? Was she technically dual covered during the first month? I called my husband's insurance and they said even though her coverage says it's effective from her birthday, her plan specifies that she is only covered under mother's insurance for the first month. If that's the case, is there any reason to worry about this then?

TIA! Dependent insurance newbie over here!

submitted by /u/piperoni_pizza
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