As a deity name
Name 414 of the Gayatri Sahasranāma — Devi Bhagavata Purana, as taught by 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
a passage, way, road, ford, stairs for landing or for descent into a river, bathing-place, place of pilgrimage on the banks of sacred streams, piece of water, &c.
Scripturally attestedWhy this matches what you typed
M1 · same meaning "tīrthāyai" is the dative of "tīrtha" — the same word in a different grammatical case.
Dictionary citations
tīrtha n. (rarely m., MBh.) a passage, way, road, ford, stairs for landing or for descent into a river, bathing-place, place of pilgrimage on the banks of sacred streams, piece of water, RV. &c.
the path to the altar between the Cātvāla and Utkara, ṢaḍvBr. iii, 1; ĀśvŚr. iv, ix; ŚāṅkhŚr.; Lāṭy.; KātyŚr.
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