can I take my daughter back to oregon if she is an oregon resident without her father's permission?

Not nearly enough information to make any kind of jurisdictional analysis, or much of anything else.  To do so, you would have to do a chronology, at least a basic one, of who is and was where, when, and how long they have been there, going back a minimum of 6 months or a year.  I presume dad is not on the birth certificate, but I can't tell exactly what court proceedings are pending where. The Nevada Supreme Court very recently decided the Druckman case, indicating that where paternity HAS been established, our regular move/relocation statutes apply.  See information and materials posted at: http://willicklawgroup.com/child-custody-and-visitation/