The critical number here is the "559" which is the rim's bead seat diameter in mm. Since both your rim and tire are 559, they are compatible and if the tire won't stay put at any reasonable pressure, something else is wrong. I agree that you have to be certain they are seated properly and that the tube isn't caught under the tire bead.
BTW, why was your neightbor discarding them? Any chance the wire beads were broken or badly kinked?
my neighbor had some stuff curbside with a free sign, there was an old univega mt. bike and other stuff. i not sure he knew or may not have valued them for what they were, on a whim i went over and grabbed them because i was looking for tires and don't have alot of $ at the moment. i too didn't know their value until i brought them home and googled them.
eventually, hopefully by next spring i'll be able to either justify buying a touring bike, surly l.h.t., soma saga, or velo orange, (i don't know enough about them at the moment) or try and turn my mt. bike into a touring bike by making some small adjustments and pulling a trailer. any and all suggestions/help/info, on the subject will be very much appreciated. i'd love to do some l.d. touring, as i've done plenty of l.d. hiking and have traveled to many places on the planet, bike touring just seems to be calling me at the moment.
thanks for everyone's help