Logged out, but when I go to our website it shows that I am logged in

Hi,
My colleague and I are both users on our WP site. We were both working away no problem this morning on our own logins, and then something went weird. When he went back to him computer, it showed that I was logged in. Also, even when I log out, an try to go to the site, it shows the admin bar at the top and says I am logged in still. https://www.wwfc.ca/wwfcca/ But when I go to the WP-admin page, it wants me to log in.
https://www.wwfc.ca/wwfcca/wp-login.php?redirect_to=http%3A%2F%2Fwww.wwfc.ca%2Fwwfcca%2Fwp-admin%2F&reauth=1

Please help. We are at a stand still right now.

Thanks. Maureen

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