Brian,
The hot spot areas generally have lost all detail so there's not a lot you can do that will also make them look natural.
The answer is to try and take the image without them, in this case a piece of paper in one hand held up to shield the light.
Grahame
It is one of those problems which often occurs. Learning to live with it is the only option.
Having said that: Exposure (or flash) compensation to allow for the brightest areas at the time of shooting then recovering the dark areas during editing often works. But, like creating a bit of shadow, it usually isn't possible in a one off shot with a timid subject.
When unavoidable, or not noticed in time, there are a few editing tricks which can sometimes help. Such as careful use of the clone or patch tool; healing brushes can then be used on any obvious edges.
Another thing which often helps for me is to paint over the bright area with a standard paint brush, with colour selected from a nearby area. Then use a healing brush etc to add some texture.
Varying the blend mode, for example to Colour or Saturation, can occasionally help to reduce the harshness of a 'paint job'.
When using Curves to selectively darken a hot spot I sometimes find the switching the blend mode to Luminosity reduces the brightness but creates a more natural looking result.
However, in this case, while editing options are possible it will take quite a bit of time, and skill, to get a pleasing finish; so probably not worth bothering too much about it.
Brian,I believe it's a pop up flash you have? Try taping a piece of kitchen roll to it to diffuse the light as it can be quite harsh,not to pretty,but can be effective.
Cheers David