So, you are saying that the Federal Reserve is an entity that is part of the U.S government and has oversight like other parts of the U.S government? Alan Greenspan said it isn't:
http://www.youtube.com/watch?v=3QkmLnNEvdU
As far as ownership, they the Federal Reserve is owned by private banks:
http://www.factcheck.org/2008/03/federal-reserve-bank-ownership/
Q: Who owns the Federal Reserve Bank?
A: There are actually 12 different Federal Reserve Banks around the country, and they are owned by big private banks. But the banks don’t necessarily run the show. Nationally, the Federal Reserve System is led by a Board of Governors whose seven members are appointed by the president and confirmed by the Senate.
FULL ANSWER
The stockholders in the 12 regional Federal Reserve Banks are the privately owned banks that fall under the Federal Reserve System. These include all national banks (chartered by the federal government) and those state-chartered banks that wish to join and meet certain requirements. About 38 percent of the nation’s more than 8,000 banks are members of the system, and thus own the Fed banks.
Yes, the U.S government appoints people over it, the governors, and the chairman. Look at who has been appointed to these roles, it is individuals from Wall Street in the chairman role, and other key offices in the U.S government.