Not to throw a curve into the mix but I would check some things first. If the hole was close to centered left to right I would turn the elevation knob all the way up (counting as you go so you know where it was to start) and then count how many turns and clicks till it was all the way down. Divide the total from up to down in half and set theelevation to that position. This will get you to the center of the adjustment range. This can also be done for the windage but if your already centered it's not really needed. Compare where it started to where it is now and see if it was near center to start. If the holewas 13" above point of aim you need to adjust the cross hairs up so if the difference in the original setting and the new setting is in that direction you should be good to dial it in.

If not, I would suggest you look into the Burris Signature series of rings. They have a plastic insert that self aligns to the scope so no lapping is needed and they also make offset inserts that allow up to .040" total adjustment up or down in .005" steps to the tilt of the scope so that your scope can be very close to the center of the optics when sighted in. The inserts also will not mark your scope tube in any way and hold it very securely. I recently put a set on my Win 70 and like them so much I may be replacing the rings on all my guns with them.

Good luck with it.