Does word press show me if I'm logged in in another location?
When WordPress logs you in, it creates a cookie on your system to keep you logged in if you want. However, being logged in from another location doesn't have much meaning in this context.
When you go back to your WP site, WordPress will check for the existence of this authentication cookie on your system. If it's there and valid, you'll be logged in. If it's missing or invalid, you'll have to log in again.
However, WordPress doesn't track if you're logged in on one machine versus another at the same time. You could probably set up a plug-in of some sort to track which users are logged in using sessions or transients ... but this isn't WordPress' default behavior.