A warm welcome to the forum.
Reference your Lady Smith Model 60. I trust that it is a 38 Special. If it is a 357 Mag use 38 Special Ammo. If it is a 38 special you can probable find ammo easier to shoot ammo with. 148 gr full wadcutters come to mind as ammo with less recoil and thus easier to shoot. Another thing that may help is different grips. I do not know your hand size but a bigger grip will spread the recoil out more. I personally think that rubber Pachmyre or Hoage grips help a lot with recoil.
Keep in touch.