Ebay shows I signed out but it will open up w/o having to sign in the next time we use it.

[sauce4050]

I can sign out and it shows we signed out but in clicking on the eBay logo it opens right open again. 

[sauce4050 · Accepted solution]

We cleared cookies on eBay from here and somehow Australia and that did the trick, so far.  Thanks to all replies to help.

[sauce4050 · Accepted solution]

I clear cookies every time we log out and that has helped, we hope. It has helped out, we hope.