Honestly, that being called a first aid course bothers me. Here in BC your basic first aid course is generally Occupational Level 1 or Emergency, which is about an 8 hour course costing about $90 canadian, and covers scene safety, patient assessment, cpr, treatment of shock, wounds, and so forth. Sure there's lesser courses out there for young people or the general public but the former is the bare minimum for anyone who would require first aid at work. St John Ambulance has several very good courses including Standard w/ CPR C (16 hours); Wilderness (additional 22 hours) if you're going to be in remote locations; Advanced/Emergency Medical Responder (80 hours) which will qualify you as a professional first aid attendant, or start you toward being a paramedic. I would assume there's courses in the US equivalent to these, but that should give you an idea of what's out there at least. In my opinion 1.25 hours of instruction does not a first aid course make, I find it hard to believe that Red Cross would even put their name to that. For better descriptions of the courses i mentioned take a look here: http://www.stjohn.ab.ca/index.php?option=content&task=section&id=5&Itemid=33
Hope you're able to find a good first aid group in your area, just don't be discouraged by one poor course!