▁Historical ▁political ▁divisions ▁of ▁the ▁United ▁States ▁in ▁the ▁present ▁State ▁of ▁New ▁Mexico : ▁Un organ ized ▁territory ▁created ▁by ▁the ▁Louisiana ▁P urchase , ▁ 1 8 0 3 – 1 8 0 4 ▁District ▁of ▁Louisiana , ▁ 1 8 0 4 – 1 8 0 5 ▁Territ ory ▁of ▁Louisiana , ▁ 1 8 0 5 – 1 8 1 2 ▁Territ ory ▁of ▁Missouri , ▁ 1 8 1 2 – 1 8 2 1 ▁Territ ory ▁of ▁Ark ans aw , ▁ 1 8 1 9 – 1 8 3 6 ▁Adams – O ní s ▁Tre aty ▁of ▁ 1 8 1 9 ▁Dis put ed ▁territory ▁created ▁by ▁the ▁Texas ▁Anne x ation , ▁ 1 8 4 5 – 1 8 5 0 ▁Comp rom ise ▁of ▁ 1 8 5 0 ▁Mexican – American ▁War , ▁ 1 8 4 6 – 1 8 4 8 ▁U . S . ▁Military ▁Province ▁of ▁New ▁Mexico , ▁ 1 8 4 6 ▁U . S . ▁Pro vis ional ▁Government ▁of ▁New ▁Mexico ▁ 1 8 4 6 – 1 8 5 0 ▁Un organ ized ▁territory ▁created ▁by ▁the ▁Tre aty ▁of ▁Gu ad alu pe ▁H idal go , ▁ 1 8 4 8 – 1 8 5 0 ▁State ▁of ▁Des er et ▁( extra legal ), ▁ 1 8 4 9 – 1 8 5 0 ▁Pro posed ▁state ▁of ▁New ▁Mexico , ▁ 1 8 5 0 ▁Territ ory