Sharing Browser Session Across Network

​@AADave Short answer: No. The problem is the browser session. If you open a site on computer A, then you want computer B to continue, unless you have some special software OR the session information is ONLY stored as parameters to the URL (extremely rare), you can't do it. Everything else you mentioned is doable. 

Thanks, that is what I keep finding but no amount of evidence seems to be enough to convince my boss.  Is there any official documentation I could hand over to him?

​@AADave Have him show you how he can start a session on computer A and pick up where he left off on computer B. It's just not something browsers should do because that's a huge security hole that could be exploited. 

Session information varies from site to site and can be comprised of cookies, locally-stored HTML 5 data, GET (URL) data, JavaScript variables, etc. There is thankfully no method to move all that information from one computer to another, otherwise I could pick up someone's browser information for their online banking and continue their session on my computer. 

This isn't an Automation Anywhere limitation; this is browser security.