There are many oils available in the market for your baby from branded oil products to locally extracted oil. You have J&J, Mothercare, Chicco, Pigeon oils or you could go for Coconut oil (Parachute or locally extracted), Almond oil (preferable locally extracted), Olive oil (Figaro) and Mustard oil.
Personally I use Parachute oil for hair and Olive oil with few drops of almond oil for rest of the body for Mishi.
For you to decide on which oil to use, Mustard oil and almond oil are supposed to be used in monsoons and winters. Coconut oil and olive oil can be used throughout all seasons.
Depending on the season, skin type of your child and after consultation with your Masseuse or pediatrician you should use the oil.
If you get rashes on your Babies skin, please discontinue using the oil and start with another oil only after the rashes are completely cured.
P.S. Lemme know if you need extracted coconut or almond oil.