On my table, pretty much the whole thing was veneered, even the back side of the frame. Only the cross members were solid. The back side of the frame and the legs had started separating. I used thin cardboard (like a cereal box) folded in half to get the glue between the solid wood and the veneer. Due to the amount of stain that was used on the wood, I decided to sand instead of strip. You might have to do both as it may end up blotchy looking after stripping (stain soaks into wood at different depths). Try some of the woodworking forums for suggestions on what kind of stripper to use. An added plus with the sanding was that it cleaned up the inlaid stripes and diamonds on the rails which had stain spots on them. I didn't sand deep enough to take all of the cigarette burns out of the rails, figured they gave the table some character (after all, it's older than me). 150 grit with a random orbit sander worked pretty fast and left a pretty nice finish on the frame and legs. I think I used 240 or 300 on the rails and then like 600 between coats of Varathane.
