how do I index a name that has the birth parents and the adopted parents listed and the child has

scottcarollen4

Melissa S Himes

You would index the adopted parents.

• For multiple parents, such as a set of birth parents and a set of adoptive parents, index only the current set of adoptive parents. 

https://www.familysearch.org/en/help/helpcenter/article/how-should-i-index-multiple-spouses-or-parents

If the child has a name change, you index the names separated by the word "or", for example,

Given Name: Norma Jeane or Marilyn

Surname: Mortenson or Baker Or Monroe