Not technically accurate. At the time Kenya did not exist, since it became a Commonwealth realm in 1963 and an independent republic in 1964. Senior was from British East Africa. As such not exactly a British subject or citizen, but kinda sorta.
I've never seen good documentation on what his exact citizenship status was at the time of Obama's birth.
IMO there is adequate documentation that Obama was born in HI. I understand some disagree, but it's not an argument I care to go around again on.
I think he's listed as illegitimate and therefore white, myself.
If you count forged documents as "adequate".