I'm afraid I don't know what kind of dresser this is, so I honestly don't have any idea what hardware was used originally. I can tell you that the only drawer stop we sell that works like you describe is our 32-125. Ultimately, you may want to try to get in touch with the original maker of the dresser to see if they can supply you with the exact hardware you need. Otherwise, I don't think you'll be able to proceed without adapting new replacement hardware to work, which will take a moderate amount of handiwork.