The address makes more sense with different line breaks:
Rose
Cherokee Nation
I.T.
Here is a broad overview map from 1899 showing the division between Indian Territory and Oklahoma Territory (Frye's Advanced Geography):

And a 1900 map (Cram's Unrivaled Family Atlas of the World) showing the Cherokee Nation area of Indian Territory at the far NE corner of the current state. Rose is just above the large "E" of TER.
