I lived in another state last year for about two or three months before returning to my current state, but I did not obtain a state ID for that state that I resides in, so should I put that state as t

[SteamTrain]

For all intents and purposes, you were a resident of your original state all year...you did not "move"..and were in the other state temporarily, only as a non-resident.  

IF you worked in the other 3-mo-state while you were there, then you do have "Other State Income" and would need to file a non-resident tax return for the 3-mo-state.....if they have an income tax.