The government of Central Square began with its incorporation in 1890. The population of the village at this time was about 500. The first officers were: David L. Wood president elected for three years, John Hamilton, George Coville and Dr. Nelson W. Bates were trustees. Gabriel Traub, treasurer; Jacob Farrington, collector and J. H. Gridley clerk.
Other Village Presidents (later called Mayors) include:
Village Presidents
1890–1893
1893–1894
1894
1897
Unknown
1916–1917
1917–1918
1920
1924–1925
1926–1927
1927–1928
1928–1929
David L. Wood
Dr. Nelson W. Bates
Dr. William Henry Conterman
James Turnbull
Dr. William D. Smith
E.T. Conterman
E.T. Conterman
E.T. Conterman
E.T. Conterman
E.T. Conterman
Herman P. Goettel
Herman P. Goettel
Mayors
1929–1933
1933–1935
1935–1941
1941–1945
1945–1951
1951–1957
1957–1963
1963–1973
1973–1975
1975–1991
1991–1993
1993–1999
1999–2003
2003–2007
2007–2013
2013–2019
Herman P. Goettel
Village President 1927-29
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William T. Reymore
Dr. William H Birrell
Charles M. Boyke
Case J. Chiller
Charles J. Yorkey Jr.
William J. Metz
David B. Weatherup
Milton L. Dunham
Donald F. Dixon
George G. Traub Jr.
Millard W. Murphy
Randy W. Brooks
Millard W. Murphy
Michael Dixon
Millard W. Murphy
Kenneth R. Sherman
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