Pebble finish, that's a nice description. Oily woods dry very, very slowly. If they aren't completely dry (or equalized to the environment, at least) once the cells continue to contract, the oil gets forced to the surface. Unless you have something like shellac between the film finish and the oil, the oil usually penetrates the film and gives the pebble look. I agree with the other folks here, strip your poly, wash the wood with DNA/acetone/mineral spirits, and then use shellac and buff.