“So even if Obama was born in Kenya, he would be considered a “natural-born” citizen because his mom was”.
If that is true, then there would have been no need for Congress to grant Winston Churchill, Prime Minister of Great Britain, HONORARY US citizenship in 1963. His mother was an NBC, and he was born in GB.
When Churchill was born citizenship passed to children born overseas through the father. When Obama was born it was mother or father.