You can look up trademarks online. There's a simple text search if you don't need to look up "design marks".
The same (text) trademark can be used by different owners for different unrelated products, e.g. Domino's Pizza and Domino Sugar are sufficiently different that reasonable individuals do not confuse the two.
If you do an online trademark search, you'll see that there are many more DEAD abandoned trademarks than LIVE trademarks.
Trademark Electronic Search System (TESS)