Thanks for the suggestions and dialogue. I was able to get it the printer working properly and coexisting with the Seagate drive. I deleted the printer, uninstalled the driver, rebooted, and re-installed the printer with a new USB cable. I am not certain if it started working because of the new cable or if I might not have had the old cable fully connected on the printer. When I connected the new cable to the printer, it seemed like it is all the way in, but I gave it an extra push and it clicked in further - that may have been the whole problem.
BTW, to answer all the questions, it is a desktop. Also, earlier I was able to change the drive letter successfully, but it did not fix the problem. I never could find an error message in Device Manager or anywhere else. Thanks again for your willingness to help and spurring additional thoughts when I was at my wits end. Sometimes asking good questions are as good as or better than giving what is believed to be the answer. Once again, the tek-tips community shows why it is the best.