Browsers don't go to sleep, but some do have a session time out. Chrome doesn't do that and you should clear your cookies after every session. Most session cookies are controlled by the host site for security reasons.
I've had trouble here on occasion when logging in. Sometimes the remember me function doesn't. After several attempts it will. Sometimes it requires a system restart.
One suggestion while in Chrome Settings was to hit RESET. It's at the bottom of Advanced Settings.
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