śrī-śukaḥ uvāca - Śrī Śukadeva Gosvāmī said; evam - in this way; samprārthitaḥ - being eagerly requested; vipraḥ - the brāhmaṇa Gargamuni; sva-cikīrṣitam eva - which he already desired to do and for which he had gone there; tat - that; cakāra - performed; nāma-karaṇam - the name-giving ceremony; gūḍhaḥ - confidentially; rahasi - in a secluded place; bālayoḥ - of the two boys (Kṛṣṇa and Balarāma).

Śukadeva Gosvāmī continued: Having thus been especially requested by Nanda Mahārāja to do that which he already desired to do, Garga Muni performed the name-giving ceremony for Kṛṣṇa and Balarāma in a solitary place.