I thought the hospital was not yet built on the birth date claimed
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I believe it was already built at that time because the exact same name is on the Nordyke twins' birth certificate that we see on the internet, although I believe they have made several major renovations over the years.
The Nordyke twins were born in that hospital the day after Obama was born there on Aug. 4, 1961: They were born on Aug. 5 according to their birth certificates, although no one seems to know why the Nordyke twins' numbers are lower than Obama's number, even though Obama was born one day earlier.