OK, I just checked out the Oregon laws regarding vacancies in state offices. Section 249.215 provides that if a vacancy occurs more than two months prior to the next general election in the state (which will be in Nov. 2016), then at such general election the voters would elect someone to serve for the remaining 2+ years of the term:
http://www.oregonvotes.org/doc/vacancies_all.pdf
So whether Kitzhaber resigns or is recalled, Brown will become governor, but Oregonians would get to elect a new governor (for the 2+ years remaining in the term) in Nov. 2016. I assume that Brown, as governor, would be able to appoint her successor as Secretary of State, but there would be an election for a new 4-year term as Secretary of State in Nov. 2016.
I wasn’t clear on the recall scenario, but it makes little sense to recall an officer without a candidate to replace them rather than just move up the next in line officeholder. I was aware that a special election would be required if Brown were to move up. This last occurred in 1956 when a Democrat (Robert Holmes) won the remaining 2 years of deceased Republican Paul Patterson’s term, defeating the acting GOP Governor Elmo Smith.
So Kitzhaber has gone mental, and Brown (Who likes hot dogs AND tacos!?) has thrown him under the bus? This story just got a lot more interesting!