Well problem solved. I now have a basket that can be fully level or tilted perfectly in one of the two directions allowed by losening the titler. OK, here's what I did to rectify the problem...it was so simple to fix.
First, I pulled out the upper tube of the stand from the base. Next, the basket is attached at the tilter by two T handles which go onto two bolts and a washer for each. Remove the T handles, bolts and washers and you can now hold the upper tube minus the basket in your hand. At the top of the tube is the flat piece with the holes for the bolts I just mentioned. Looking at the flat piece at the top of the tube from the side you can see which way it is leaning torwards. I simply put it in a vice up side down and very gingerly moved the tube a bit to the opposite direction, and then turned it right aside up again and checked to make sure it was now straight.
Then I reassembled the basket onto the tilter and put the upper tube back in the base.
I put my black beauty in the basket and can completely level the drum or using the tilt to go forward or back or turn the tube 90 degrees and move it side to side. No more feeling the drum was tilting in two directions at once like it was in a marching sling.
Remember, the snare stand I describe is the Atlas with out the locking "geared" halfs as found on later tilters.
So I fixed my own problem...
Matt