that was exactly same happening with me. the issue was that, firefox keeps me showing even Cookies of different websites hosted on same URL : “localhost:Port number” stored inside browser memory.
In my case, i have two projects configured to run at http://localhost:62601, when i run first project, it saves that cookie in browser memory. when i run second project having same URL, Cookie is available inside that projects console also.
what you can do, is delete the all of the cookies from browser.