She entered politics as a
Democrat in 1966, joining the North Shore Democratic Club and elected to the Democratic County Committee, serving as a zone leader from 1972 to 1974. Connelly was elected in November 1973 to the
New York State Assembly, to fill the vacancy caused by the appointment of
Edward J. Amann Jr. to the New York Court of Claims. Connelly was re-elected several times and remained in the Assembly until 2000, sitting in the
180th,
181st,
182nd,
183rd,
184th,
185th,
186th,
187th,
188th,
189th,
190th,
191st,
192nd and
193rd New York State Legislatures. In 1975, Connelly was assigned to the Committee on Mental Health, Mental Retardation, Developmental Disabilities, Alcoholism and Substance Abuse. When she was named chair in 1977 she became the first woman Democrat to chair an Assembly standing committee. She remained chair from 1977-1992. Other committees on which she served include: Education (1974-1976), Transportation (1974-1993), Environmental Conservation (1979-1986), Health (1974-2000), Rules (1981-2000), Veterans (1985-2000), Corrections (1987-2000), House Operations (1980-c 1990) and
Ways and Means (1993-2000). In 1993, the
Legislature elected Connelly to chair the New York State Legislative Women's Caucus and Speaker
Saul Weprin appointed her to chair the Committee on Committees. Speaker
Sheldon Silver appointed her to be
Speaker Pro Tempore in 1995, the highest-ranking leadership position ever held by a woman in the history of the New York State Assembly. When Connelly retired in 2000, she was the longest serving woman in the history of the
New York State Legislature. == Disability Advocacy ==