I will try the alcohol and see what happens. The good thing is...if there is a good thing in this situation, is that the part that wants to stick to the floor is only about four inches wide all around each room and the hallway. The stairs, on the other hand, will be much more of a challenge and take alot longer.
I really want to avoid refinishing those rooms as the diningroom floor was refinished and needless to say...it does not match the other wood in the house because it lost it's patina. It is soo much lighter than the baseboards and other floors that have 100 years of age on them. None of the floors were stained...just sealed...and they are a gorgeous red in color.