Don't know if this is your Annie, but I show an Ann listed under William Addy (son of Robert):
1.ROBERT ADDY(son of WILLIAM) was born Abt. 1770 in Wilmington, DE, and died January 30, 1846 in Coshocton Co., OH.He married (1) ELIZABETH HUGHES April 14, 1798 in Charles City, VA.He married (2) ANN NORRIS August 15, 1820 in Coshocton Co., OH.
Children of ROBERT ADDY and ELIZABETH HUGHES are: 2. i. ANTHONY T ADDY. 3. ii. WILLIAM ADDY.
3.WILLIAM ADDY (ROBERT, WILLIAM)He married UNREPORTED. Children of WILLIAM ADDY and UNREPORTED are: i. JOHN ADDY. ii. CATHERINE ADDY, m. TIPTON. iii. ELIZABETH ADDY, m. BAKER. iv. ANN ADDY, m. NORRIS.
Given the lack of definite dates the chronology seems like a stretch to me, but its possible.