I know this is really old, but I thought I'd chip in. I've lived in 2 older homes (circa 1900/late 1800's) with asbestos siding. While the siding concerned me, what I didn't realize when we moved in was there were worse issues. Like the old pipes in the basement ceiling wrapped in a canvas type material with a type of insulation, which was deteriorating (google this, and select images to see what it looks like). I later found out this was asbestos! I actually had already touched it, and did laundry down the basement, and when I discovered what it really was (yes, I freaked out), I informed my landlady, who denied knowing about it. Ha! She grew up in that house.
Also, check the ceiling tiles. They too were made at one time out of asbestos, and also old linoleum and floor tiles.
When buying an older house, do your homework, ask questions, google for information, and learn to recognize these things, so if you do own or buy a home with these items, you can be better prepared to protect yourself and your family when you decide to remove these products.
I can only hope that my exposure was minimal and over time will not show up as a health problem.