Exactly when Vasudeva, being inspired by the Supreme Personality of Godhead, was about to take the newborn child (Krsna) from the delivery room, Yogamaya, the Lord's spiritual energy, took birth as the daughter of the wife of Maharaja Nanda - SB 10.3.47

Expressions researched:
"exactly when Vasudeva, being inspired by the Supreme Personality of Godhead, was about to take the newborn child from the delivery room, Yogamāyā, the Lord's spiritual energy, took birth as the daughter of the wife of Mahārāja Nanda"

Srimad-Bhagavatam

SB Canto 10.1 to 10.13

Thereafter, exactly when Vasudeva, being inspired by the Supreme Personality of Godhead, was about to take the newborn child from the delivery room, Yogamāyā, the Lord's spiritual energy, took birth as the daughter of the wife of Mahārāja Nanda.

SB 10.3.47, Translation and Purport

Thereafter, exactly when Vasudeva, being inspired by the Supreme Personality of Godhead, was about to take the newborn child from the delivery room, Yogamāyā, the Lord's spiritual energy, took birth as the daughter of the wife of Mahārāja Nanda.

Śrīla Viśvanātha Cakravartī Ṭhākura discusses that Kṛṣṇa appeared simultaneously as the son of Devakī and as the son of Yaśodā, along with the spiritual energy Yogamāyā. As the son of Devakī, He first appeared as Viṣṇu, and because Vasudeva was not in the position of pure affection for Kṛṣṇa, Vasudeva worshiped his son as Lord Viṣṇu. Yaśodā, however, pleased her son Kṛṣṇa without understanding His Godhood. This is the difference between Kṛṣṇa as the son of Yaśodā and as the son of Devakī. This is explained by Viśvanātha Cakravartī on the authority of Hari-vaṁśa.