• abhyanujñātaḥ — given leave
  Past participle of abhi + anu + √jñā, 'permitted to depart.' Even Bhagavān takes formal leave of brāhmaṇas — the Lord models the etiquette He has prescribed for His devotees. The smallest social grace is preserved by the One who needs none of it.
• kauśikīm — to the Kauśikī River
  Accusative of Kauśikī (the river of Viśvāmitra's lineage, the modern Kosi). Sacred for its association with the kauśika-gotra and Viśvāmitra's tapas. Balarāma's first stop after Naimiṣa is the river of a brāhmaṇa-sage's penance — He continues to honor brahminical geography.
• sarayūḥ — the Sarayū River
  The river of Ayodhyā, of Rāmacandra. By bathing at its source-lake Balarāma quietly enters the geography of His previous līlā as Lord Rāma's elder brother — Gauḍīyas read all Daśaratha-līlā as a līlā of Lord Rāma alongside Lakṣmaṇa, with Balarāma's own form being adjacent in tattva.
• snātvā — bathing
  Absolutive of √snā. Snāna at a tīrtha is the basic act of pilgrimage — yet when Bhagavān bathes there, the water itself is purified rather than the bather. The grammar describes the Lord's act; the theology reverses the direction of grace.

With the demon dispatched and the abhiṣeka complete, Balarāma turns His feet east — and the rest of the chapter becomes a kind of moving Bhāgavatam, a string of holy waters touched in order. Each tīrtha is a bead, the Lord's feet are the thread, and the brāhmaṇas walking beside Him are the household of the rosary.