It may be best for you to confirm this with an attorney who handles unemployment cases in your area, but I do not think that when you leave is an issue here.  It is not unreasonable to take that amount of time to relocate almost across the country.  The issue becomes the amount that you can collect based upon the wages you have earned during the applicable calculation period.  So the longer you work the more you would receive.  As long as your job is not disputing the reasons that you left and as long as Washington allows the collection of unemployment benefits due to spousal relocation then you are good to go.  Good luck to you both.