daughter who inherits the family home; unmarried woman who owns a house
Refers to a daughter who will inherit or already owns the family home, often implying she is unmarried and the house is part of her marriage prospects.
彼は家付きの娘と結婚して、大きな家に住むことになった。
He married a daughter who inherited the family home and ended up living in a large house.
Compound of 家付き (いえつき, 'attached to a house') + の + 娘 (むすめ, 'daughter'). The exact historical derivation is uncertain, but it describes a daughter who comes with a house as part of her inheritance or dowry.