Dave, how many times have customs agents looked at every pill you carried into a country?
Acetylsalicylic acid is easy to make in an organic chemistry lab, and I've done that.
Aspirin was originally Bayer's trade name for acetylsalicylic acid. Their trademarked name still holds in Germany, and probablly the rest of Western Europe. Their trademark name didn't hold in the USA, and we use 'Asprin' for the name rather than the generic name acetylsalicylic acid.