ɪn dʒˈuːn wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd twˈɛlv, tˈɛn ˈaɪk wʌz ᵻlˈɛktᵻd æz ɐ fˈɛdɚɹəlˌɪst tə ðə nˈuː jˈɔːɹk stˈeɪt ɐsˈɛmbli ɹˌɛpɹᵻzˈɛntɪŋ dʒˈɛfɚsən kˈaʊnti, sˈɜːvɪŋ fɹʌm dʒuːlˈaɪ wˈʌn, wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd twˈɛlv ʌntˈɪl dʒˈuːn θˈɜːɾi, wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd θˈɜːtiːn.
In June 1812, Ten Eyck was elected as a Federalist to the New York State Assembly representing Jefferson County, serving from July 1, 1812 until June 30, 1813.