The mod version is listed as April 2008, so I'm pretty sure that's the version I have installed.
My admin looks much like yours, see attached. The 'Customer Name' and 'Shipping Name' are referring to the customer order data, billing and shipping, respectively. The customer name and shipping name for the order. The '(Company)' field is also customer order data, if a customer entered a company name when placing their order. There is no connection to the shipping company used, as you thought.
The only place the shipping company shows up is in the customer view of order history. Again, in the comments field, the shipping company precedes the tracking number. For me, it's usually UPS, so: UPS:1Z4887867678898 with the tracking number being the link.
Looking back at your original question, the path to the image leads me to believe it's in the admin side of the site, but i have no idea where. I've been using this mod for a LONG time and never saw the image or a missing image anywhere. I'd have to conclude it's an 'extra' but couldn't say why.
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