Did this hospital confirm this and do they in fact have a copy?
Nope, they refused.
From a July 26, 2009 WND article:
-snip-
"The Kapi'olani Medical Center claims to "know" the letter is real, but hospital spokeswoman Keala Peters refused to corroborate the content, specifically that Obama was born at her facility as the letter asserts.
"We know that [the letter] came from Mr. Obama," she said.
When asked how she "knew" that and how the hospital came to receive the message, Peters only stated, "[Congressman] Neil Abercrombie personally brought it." "
http://www.wnd.com/index.php?pageId=104718
-end snip-
Neil Abercrombie, the-over-the-hill-hippie, and the only person to publicly state he saw Obama Sr. and Stanley Ann Dunham together in Hawaii.
the hospital won’t confirm this. last year i got a “form” email stating that because of confidentiality, they could not confirm or deny.