The New York woman is facing charges of reckless endangerment and larceny.
Morgan’s spokesman said the 45-year-old performer suffered several injuries, including a broken leg.
The museum is dedicated to those killed in the terror attacks on 11 September 2001.
The two-time Grammy-nominated SA artist celebrated his 75th birthday on Friday.
A 24-hour vending machine that dispenses gourmet cupcakes opened for business this week.
The fourth season of HBO’s increasingly popular medieval fantasy-drama will premiere on 6 April.