He was adopted in hawaii..and maybe elsewhere..but his original birth certificate is sealed due to the adoption.
You can see online that he stated that he had not gone by any other names. I dont remember the link. I believe it was with the State bar.
Indonesia did not demand formal adoption. However, he did use the name Barry Soetoro and then claimed no aliases on his Illinois Bar application. He lied.
LAWYER SEARCH: ATTORNEY REGISTRATION AND PUBLIC DISCIPLINARY RECORD
Under "Full Former Name(s) - None.