High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! Lenox Township is one of the twenty-seven townships of Ashtabula County, Ohio, United States. The 2000 census found 1,388 people in the township. It is the only Lenox Township statewide. The first settler in Lenox Township was former Maryland resident Lyle Asque, who arrived in 1807. The township is governed by a three-member board of trustees, who are elected in November of odd-numbered years to a four-year term beginning on the following January 1.