If you are looking to see specific details for a case while doing a name search, for example the name of a different correspondent linked to any case you were looking for, then you would need to amend the columns you can see on the name search.
This is easily done clicking the Choose Columns option at the bottom of the screen.
You can then select from the left hand side list the correct field you want to see and using the arrows you can transfer this to the right hand side box which is what you can currently see.
You can also use the up down arrow in case you want this new column to be positioned in a specific place, for example before the address of the client you were looking for.