Shri raviram,
There is at present no government scholarship for brahmins, especially at the stage of 1st. standard. Also, usually the Vedapaathasaalas will admit children who are slightly older and can live in the Paathasaala itself - and that may be about 6th. standard or so. Secondly the boy should have poonal ceremony performed as otherwise veda cannot be taught to him. I think there are some good vedapathasaalas in Madurai, Tiruchi areas; you may please enquire in those places.
There is one vedapaathasaala in Thanjavur at the following address:
Vedapatasala, 2/346 Agraharam, KALANCHERI POST, SALIYAMANGALAM- VIA THANJAVUR DT.
You can enquire there also.