I don't really know the answer but have you had a look through the tutorials here, there is a wealth of information. You didn't tell us what OS the other computer is using but have a look at this to start off with, it may give you some help.
Please post back if you need more help as I know there will be an expert ready to help you.
What happens when you open "Run" (Windows key & R) and enter the hostname of the computer with the usb printer connected from the printer which should access the remote printer like that: \\hostname_of_pc_with_usb_printer
System Manufacturer/Model Number Home built OS Windows 7 Ult, Windows 8 Pro, CPU Q9650-4.275GHz, E8600 4.5GHz, E6750-3.8GHz Motherboard Evga 780i FTW Memory G.Skill PC2 9600 1200Mhz 5 5 5 15 2T Graphics Card GTX480 Sound Card Asus Xonar D2 Monitor(s) Displays HannsG Screen Resolution 1680X1050
Keyboard Logitech G15 Mouse Logitech G9 PSU ThermalTake Toughpower 1000Watt modular Case ThermalTake XaserV Cooling Xigmatek S1283 Hard Drives GSkill Phoenix Pro 120GB SSD Internet Speed T1
Sharing a USB attached printer to the workgroup problems?