It's very common to be confused and disoriented by spins or spin-like phenomena. I always ask students to tell me how many turns we did after I demo a spin. Most think we've gone around several more times that we actually did. Many people confuse an incipient spin with a developed spin, and so forth.
That's why we need training that gradually exposes us to spins and helps us develop our awareness of what's going on. The situation is similar to that involving any new, intense experience. Remember how exciting and disorienting your first power-on stall seemed?
Note that regardless of pitch attitude, a true, developed spin is characterized by low airspeed (it may oscillate around a value near the power-off stall speed). Regardless of rotation, pitch angle, etc., if the airspeed is high (and increasing), you're not in a stablized, developed spin. Do you remember what the airspeed was during your maneuver?
The feeling that you're pointing straight down is also common, although typically the nose is actually down about 60 degrees (the value varies with aircraft, configuration, type of spin, etc.). For one example of how a spin develops, see the video at
http://www.bruceair.com/spins.htm. You'll also find excellent videos and more information at Fighter Combat International (
http://www.fcitraining.com/newsletterlist.htm).
Take the information a bit at a time, and gradually you'll gain understanding. The main points of all the references I posted are that spins are complex, difficult to model and analyze, and vary considerably among aircraft.