Hi Shiv Nadar,

Heartiest Congratulations for the little princess!

1) Gautami (also spelled as Gouthami/Gauthami/Goutami) is an Indian female name that I am aware of, being from India
Its derived from Gautam Buddha

2) Boudha (or Bouddha/Bauddha)
This can be referred to a male or a female.

a. Is also a place in India referred in below article to be derived from Gautam Buddha
https://en.wikipedia.org/wiki/Boudha_Nagar

b. Its also a structure named after Lord Buddha
https://en.wikipedia.org/wiki/Boudhanath

3) Siddhi – derived from Siddhartha Buddha

Blessings to the girl!