Smoke on the water was the old favourite and I learned a few chords.
I think the way I knew I was progressing after six months was that I could pick up notes pretty quickly from records.
I'd hear something and be able to play it back roughly in minutes, that was a good skill to have.
As long as you practice and keep learning new things you'll improve, keep challenging your fingers.
I played as soon as I got home from school till late when I had just started. It takes time for your fingers to do what you want them to, keep pushing yourself though.