More photos! What is the seat made of?
What is Padauk? Is that the type of wood, or the type of chair?
If it were made in Europe or the U.S., I would call it a "slipper chair." I think your guess is correct as to age: I'd say perhaps 1860-70 or so. Depending on if it is frome a famous Indian "maker" or not, it's probably worth $300-$500 dollars, but that's just a guess.