Garudapurana 3.27.35

3.27.35

jātā jāṃbavatī nāma vavṛdhe tasya veśmani /
tasyāḥ pitā jāṃbavānsa samādātkanyakāṃ tadā /
rukmyā anaṃ tarā saiṣā mama bhāryā khageśvara //

She was born named Jāmbavatī and grew up in his house. / Her father, Jāmbavān, then gave the maiden [to me]; / she, after Rukmiṇī, became my wife, O Lord of Birds.