Was "3062oldtile" in any sets? Was the 3062oldtile - Brick, Round 1 x 1 No Bottom Lip or Stud (Tile) in any sets?  Bricklink doesn't show it in any sets.  Did LEGO sell this part individually a long time ago or is the database merely incomplete here?
This seems to be a prototype / part that was not put in production
Post / Picture by Gary Istok on Eurobricks