As a deity name
Name 754 of the Gayatri Sahasranāma — Devi Bhagavata Purana, as taught by Sages
Name 445 of the Saraswati Sahasranāma — Skanda Purana, as taught by Lord Brahma / Sages
As a Hindi name
No reading on this path — this spelling has no entry in our Hindi sources, and no near neighbour is attested there either. We say so rather than invent one.
As a Sanskrit word
Meaning
speech, language (esp. common or vernacular speech, as opp. to Vedic or in later times to Sanskṛt)
Scripturally attestedWhy this matches what you typed
M1 · same meaning "bhāṣāyai" is the dative of "bhāṣā" — the same word in a different grammatical case.
Dictionary citations
bhāṣā f. speech, language (esp. common or vernacular speech, as opp. to Vedic or in later times to Sanskṛt), Nir.; Pāṇ.; Mn.; MBh.
any Prākṛt dialect or a partic. group of 5 of them (viz. Māhārāṣṭrī, Śaurasenī, Māgadhī, Prācyā, and Avantī, also called Pañca-vidhā Bhāṣā; cf. under prākṛta, p. 703), Cat.
Caveats
Sources contain errors and engines have limits; every claim above carries its citation so you can verify it. This is guidance about names and their sources — not religious or astrological consultation. How we work · Our sources