Red, It sounds like you are possibly taking the Albuterol tablets which I have never taken, but I have used it in my nebulizer. I started out on Albuterol, but just couldn't tolerate it. Yes, it did make me dizzy. After I did nebulizer treatments with it, my mouth and face felt weird for a few minutes, and I was very light-headed. I don't recall getting headaches, but that was about five years ago. I use Xopenex in my nebulizer these days.
For those of you with allergies and sometimes bronchitis, if there is anything at all you can do to avoid repeated lung infections, by all means do it. I can remember planting flowers as fast as I could until I got a sinus infection and had to stop or working in the yard until I just couldn't go any more. I have only had one cigarette in my life and now have severe asthma. Take care of your lungs as best as you can.
I hope you feel better soon, Red.