2 added "of their"
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The sentence is parsed this way: "in einer (Dativ, singular) ihrer (Genitiv, plural) Familien". In English it would be "in one of yourtheir (or "of her"!) families".

Note that "in einer Ihrer (capitalized) Familien" means "in one of your families".

The sentence is parsed this way: "in einer (Dativ, singular) ihrer (Genitiv, plural) Familien". In English it would be "in one of your families".

The sentence is parsed this way: "in einer (Dativ, singular) ihrer (Genitiv, plural) Familien". In English it would be "in one of their (or "of her"!) families".

Note that "in einer Ihrer (capitalized) Familien" means "in one of your families".

1
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The sentence is parsed this way: "in einer (Dativ, singular) ihrer (Genitiv, plural) Familien". In English it would be "in one of your families".