After painting my stone wall, I have some shiny spots. Is there any way to remedy this situation?
Barbara, I will ask you to supply more information to accurately assess the situation. Did you use a primer? What type finish. Latex? Alkyd? What type stone. Synthetic? Real stone? Exterior or interior paint? Flat, satin, semi-gloss, or gloss finish? Did you wash the stone before painting? If so, with what type cleaner?
I USED PAINT AND PRIMER, ALL IN ONE(BEHR PAINT WITH PRIMER) SEMI GLOSS FINISH, INTERIOR PAINT. AS FAR AS THE WALL IS CONCERNED. I THINK IT IS REAL STONE. THE HOUSE WAS BUILT IN 1956. I DID NOT WASH THE STONE BEFORE PAINTING
OK, great. Your response really helps the diagnosis.
I will first address the, in my opinion, misleading (read false) sales gimmick of the advertisement of Paint with Primer. For your purposes you should have used a true primer. A huge reason the gimmick is misleading.
Now I will get off that issue and deal with your situation.
Not to worry, I will suggest a few options. The most simple first. Prime the stone and then re-paint with 2 coats of finish.
If you choose to not prime, then you will probably be more satisfied by applying a paint with a lower sheen. The stone is a natural product and will therefore absorb the paint in an uneven fashion. Two coats of this lower sheen should produce the desired even appearance.