It cost money to tumble a bottle so consider the bottle in question first. You could send it away to be tumbled and pay a pro or make your own set up for a couple hundred dollars and buy the cut copper and polishing compounds, ect... If you have a $5 bottle then chances are it should just be left alone. If it won't come off with a good soak in The Works toilet bowl cleaner or some CLR or even a Muriatic Acid soak for 2 or 3 days then its etched into the glass and only tumbling will take it out. The mineral oil is a temporary fix that some people use but it will need to be reapplied occasionally and if you have to much on it might stain your shelf. If you have a $100 bottle that could be a $250 bottle with tumbling then it would be worth it to have it tumbled. There are very few people who want to see the "Patina" on these old bottles. They want to see the glass the way it was meant to be seen. With tumbling a thin layer of the bottle is basically sanded or polished off. To much polishing or too fast could bust an otherwise good bottle. Good Luck. Swiz