Company is related to the Location of the Ticket, change the Location of the ticket, and you will see the Company field above (or below) the Location in the Ticket Details panel and also the column view in Group/My Tickets.
Also in setup you need to align you Locations to Companies.
Also the Location for a ticket can be inherited (depending on you settings) from a client, if a Client doesn't have a Location then the Company will not be populated.
Creating a location for the business solved the problem.
I have a lot of businesses with just one location. Wish there was a [Company Name] field in the client info that could carry the business name into the ticket w/out having to create locations. I created a custom ticket field for this but as such has to be retyped each ticket since a custom field in the client info isn't selectable as a column in ticket view.
Creating a couple hundred locations and attaching them to all these small companies isn't very appealing right now.
Don't suppose I'm missing something else here?
As is, mystery as to why [Company] wasn't populating is solved. Needs a location. Thank-you comtcjm.