Early in our history, there were at least three people who served in the Senate even though they weren't yet 30 years old (as required by the Constitution):
In 1806, Kentucky sent Henry Clay to serve as a Senator when he was just 29 years old.
In 1816, Virginia sent Senator Armistead Mason to serve as a Senator when he was just 28 years old.
In 1818, Tennessee sent John Eaton to serve as a Senator when he was just 28 years old.
Despite these blatant Constitutional violations, the United States just kept moving forward. The more things change, . . .
The two Senators who were expunged from the records were not even citizens of the U.S.
This past national election cycle, here in the State of Washington (where I live) a man from Nicaragua was on the ballot running for President of the U.S. It is obvious the several states must step up and take responsibility for verifying the eligibility of those running for national office.
This kind of crap, where foreigners are President, is unacceptable. We either have laws and uphold them, or we lapse into anarchy. Right now anarchy seems to be winning.
Supreme Courts have removed Executives
See North Dakota case Sathre v Moodie. This case has been almost completely scrubbed from the internet, but here is one reference. Perhaps someone with paid access like Lexis Nexis can verify.
http://charleslincoln3.files.wordpress.com/2010/02/state-of-north-dakota-v-thomas-h-moodie-1937.doc
I believe this is accurate because it comports with a legal reference which WAS available on google books but has since disappeared.