Our house is about 150 years old and we dug down to the dirt floor in one of the downstairs rooms. We found suspicious white bits, and had to send a sample off. Luckily it came back clear. It was unlikely anyway, as asbestos wasn't in widespread use here in the 19th century.
However, we do have corrugated asbestos roofing on our "scullery" but it's in one piece so can be left until we renovate that part, then disposed of safely. It's pretty common to find it on sheds and outbuildings here.
Someone I know was working with a person who has a therapy dog. Apparently the dog is trained to understand when they become overwhelmed and just sit on them. It sounds like it has a similar mechanism to these techniques.