"connected as"?

I'm using 10.11.4 on several machines on my network. When I do a Network connection from one machine to the other, I get "Connected as:" random things. Sometimes I'm connected as Administrator, sometimes one of my e-mail addresses, sometimes my username. Why??? I want to set that connection to default to ME. I want to always connect as ME. If it isn't set to ME, the permissions of the files I port from one machine to the other don't include ME, which is bad, since I have to manually add my access permission before I can do anything with the file on the target machine.

OK, I can "Disconnect", and reconnect as me, but what a PIA!

How do I set the default network connection identity?