As long as the original crime was "local" (murder, even in DC, is not a Federal crime) and the subsequent charge is a "Federal" offense (such as civil rights violations), then yes, the charge can be levied in the same area, by the different jurisdictions. If Seattle doesn't have local legal authority, only then can you avoid the Local/Federal exemption for Double Jeopardy.
Assuming you were using modern day Washington, yes, you can in fact be brought up on federal charges inside the state of Washington by the federal prosecutor in Washington state after being acquitted of the same crime on local charges. If you don't believe me, take a look at the article on Double Jeopardy on wikipedia as a baseline, particularly the portion on
exemptions.