Barack Obama has no control over his original birth certificate. It is the property of the state of Hawaii. Just like the original of yours or mine is not in our possession.
His original birth certificate isn’t hidden, its in the office safe of the Hawaii Registrar of Vital Statistics and if any member of Congress wanted to see it, a congressional subpoena can release it for inspection and under Hawaii statutes, anyone with an order from a judge can also inspect it.
From 2011: http://www.foxnews.com/politics/2011/04/27/obama-birth-certificate-moved-secure-location-months-ago/
Hawaii Revised Statutes 338-18: “Disclosure of Records”
http://www.capitol.hawaii.gov/hrscurrent/vol06_ch0321-0344/HRS0338/HRS_0338-0018.htm
Sheriff Arpaio and Mike Zullo of the Maricopa County Cold Case Posse made no attempt to get a Hawaii Judge to issue a court order for the release for inspection of the original birth certificate. Instead, the Republican Secretary of State of Arizona, Ken Bennett, asked the Hawaii Registrar of Vital Statistics to verify the authenticity of the original, vault edition birth certificate, which he did:
http://archive.azcentral.com/12news/Obama-Verification.pdf
Secretary of State of Arizona, Ken Bennett, never saw a Certificate of Live Birth for Obama. All he received was confirmation that the information in that document was true. Hawaii has shown no one that document and, as long as Obama is President, no one will see that document (if it even exists). But hey, why should I care? “The matter is settled.” Let’s move on to Senator Ted Cruz’s eligibility.