The Birth and Consecration of Skanda (Kartikeya) at Kurukshetra
कुमारः शङ्करमगाद् विशाखो गौरिमागमत् कुटिलामगमच्छाखो महासेनो ऽग्निमभ्ययात्
kumāraḥ śaṅkaramagād viśākho gaurimāgamat kuṭilāmagamacchākho mahāseno 'gnimabhyayāt
Si Kumāra ay nagtungo kay Śaṅkara; si Viśākha ay lumapit kay Gaurī; si Śākha ay nagtungo kay Kuṭilā; at si Mahāsena ay lumapit kay Agni.
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The passage presents Skanda as manifesting in multiple aspects/emanations, each moving toward a specific divine figure. This is a common Purāṇic technique to express a deity’s plenitude—one divinity appearing as many functional forms (commander, youth, specific ‘faces’ or powers).
In this verse Kuṭilā functions as a feminine figure (a goddess/attendant or śakti-name) receiving one emanated aspect (Śākha). It is not presented as a geographical toponym in the given line.
No. Despite the Vāmana Purāṇa’s strong geographical orientation elsewhere, this unit is mythic narrative and contains only divine personages, not named rivers or pilgrimage sites.