Does the spray on ceiling texture applied during the 1960's have aspestos in it?

I am removing the texture from the ceiling inside my duplex which was built in 1963. It is often referred to as popcorn and was sprayed on when they built the place. It does not have the sparkles in it i have seen in other places. Some persons say it is simply ground up paper others say oh it has aspestos in it . Can someone give me the straight scoop? Thanks.