Actually got the fix from HP
What a surprise -- only took me 3 levels of support and 1/2 hour but I did get a very competent guy on the phone at the last level (you know what I got at the first two levels). Name was Justin, if you are so lucky. (He at least knew what the concept was behind DHCP, so I felt reasonably okay with him).
Firstly, thanks freepeacesweet -- you set me on the right path.
This HP guy essentially had me set up my C4580 as a static IP address -- it's not hard to do. My only concern is that this address that I set up is within the dynamic scope of the Wireless Linksys Router that I have it connected to. But, if worst comes to worse, I can always move it outside my dynamic scope address range (like, where I have my SlingBox).
But, so far, so good. Thank you again freepeacesweet. And thanks Justin.
This is a very helpful forum.