Thanks for your suggestion! You got me on the right track although my case is different than yours. There are 3 devices I see in Printers: Fax, Microsoft XPS Document Writer, and PDF995. None of them are the Brother 1440 Printer. However, above the Printer and Faxes list is the Devices list. In this list at the very top is a device with the same name as the name given to my computer. Here's what it says:
Name: COMPUTERNAME
Category: Desktop computer
Classification: Devices
Device Category: Computers
Manufacturer: <BLANK>
Model: <BLANK>
Status: 0 document(s) in queue
Now if left double click on it, the Brother HL-1440 printer document queue window shows up! I can also right click on it to set it as the Default Printer. Nothing changed with the icon though. I'm not sure how the printer got misclassified in the Devices and Printers list, once again the Brother 1440 shows up fine in Print Management. So it looks like in my case, my printer is sharing the icon with system's icon in the device list. So, how do we fix that?