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!