No you have not as Lingle has never said that publicly. You are confused with DoH director Fukino who said she saw the vital records that say Obama was born in Hawaii.
However, Hawaii has accepted statements from witnesses who say they were present when a baby was born in the state of Hawaii which doctors were not present or were not in the hospital delivery system. A system that could be easily fooled if the witness is not honest.
I have not been able to determine if it is included in the duties and responsibilities of DoH director Fukino to determine/adjudicate citizenship status. This is an opinion of the person or a finding of the office?