Civil and/or church records documenting Phoebe Hinckley's birth

Several sources mention that Phoebe Hinckley, dau of Joshua Hinckley and Hannah Chase, was born 5 Sept. 1805 in Mecklenburn, Tompkins Co., NY.I would appreciate knowing if anyone knows the actual records supporting this birth date and place, as well as any information about the family in general.Many thanks.