▁was ▁first ▁settled ▁around ▁ 1 7 9 0 . ▁ ▁The ▁town ▁once ▁contained ▁the ▁towns ▁of ▁D ry den ▁( est . ▁ 1 8 0 3 ), ▁En field ▁( est . ▁ 1 8 2 1 ) ▁and ▁I th aca ▁( est . ▁ 1 8 2 1 ▁and ▁named ▁for ▁U ly ss es ' ▁home ▁in ▁ancient ▁Greece ). ▁U ly ss es ▁was ▁organized ▁in ▁ 1 7 9 4 ▁while ▁still ▁a ▁part ▁of ▁On ond aga ▁County . ▁The ▁village ▁of ▁Tr um ans burg , ▁the ▁main ▁settlement ▁in ▁U ly ss es , ▁was ▁started ▁by ▁Ab ner ▁Tre man ▁in ▁ 1 7 9 2 . ▁ ▁Dem ograph ics ▁ ▁As ▁of ▁the ▁census ▁of ▁ 2 0 0 0 , ▁there ▁were ▁ 4 , 7 7 5 ▁people , ▁ 1 , 9 8 6 ▁households , ▁and ▁ 1 , 3 1 4 ▁families ▁res iding ▁in ▁the ▁town . ▁ ▁The ▁population ▁density ▁was ▁ 1 4 4 . 8 ▁people ▁per ▁square ▁mile ▁( 5 5 . 9 / km ²). ▁ ▁There ▁were ▁ 2 , 1 9 8 ▁housing ▁units ▁at ▁an ▁average ▁density ▁of ▁ 6 6 . 6 ▁per ▁square ▁mile ▁( 2 5 . 7 / km ²). ▁ ▁The ▁ra cial ▁make up ▁of ▁the ▁town ▁was ▁ 9 6 . 5 0 % ▁White , ▁ 1 . 1 1 % ▁African ▁American , ▁ 0 .