I am refinishing a craigslist find kitchen table. I stripped the finish/paint off the top using stripper and lots of sanding. Discovered table was pine. Then I started on the edges. The stripper did not work that well so I went right to sanding. While sanding the paint began to splinter and (long story short) the "paint" peeled right off. I didn't know that what I thought was a solid pine table is really a MDF base with pine veneer. Evidently the side veneer was much thinner than the veneer on the top. The veneer on the top is intact. But now I have a pine top with MDF sides. I was planning on staining the top (including the sides), but I have read that MDF does not take stain well. Any suggestions? I was thinking of either replacing the veneer on the sides or painting the sides to match the stain on the top as close as I can (dark walnut). Thank you in advance for any advice/suggestions!