"A CERTIFICATE of Live Birth (an ACTUAL BIRTH CERTIFICATE) - on the other hand contains more information. It gives the specific location of your birth, the hospital, the time of birth, the attending physician etc."
Only an actual birth certificate has the additional information. Why did they say a COLB does, too?
You're confusing "Certificate of Live Birth" and a "Certification of Live Birth". A VERY common mistake here at FR. The phrase "Certificate of Live Birth" is a phrase that the Centers for Disease control uses on a document that it provided to all the states. That document, although not binding, was to be used by the states when designing their own proprietary (for lack of a better word) "birth certificate" Almost all states today use an EXACT copy of the CDC's "Certificate of Live Birth" - sometimes called a "birth certificate" or a "vault copy birth certificate" or a "long form birth certificate".
A link for the CDC form is below. You need Adobe Acrobat Reader to view the document.
http://www.cdc.gov/nchs/data/dvs/birth11-03final-ACC.pdf
The "Certification of Live Birth" is what has been bandied around by various websites, including Obama's own campaign website. It is a computer generated document that uses information that is stored in a state's database to fill out, automatically an "official" copy of a resident's birth certificate.
It is true that every court in America be it, City, County, State or Federal will use the "Certification of Live Birth" as a prima fascia evidence of citizenship. But, it certainly leaves out information that might be critical in determining a Presidential Candidate's eligibility for office.