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Hi dhfxxx
I've moved you request to a new thread, this way will be more noticeable to most of our members and you will get more help as well

background is showing through the hair, if dark background this will work, if light background some dodging is in order.
You can learn how to do this by searching channel based selections or selecting hair.
The other picture will be much more time consuming since the background and hair blend together much more. May I ask what are these for and is there some reason that I should spend my time doing the other one?
Pick up the Dodge tool. Dodge her hair while on the highlights setting with an exposure of around five. This will give you a nice controlled way to lighten her hair. Grab the burn tool and burn the background around her hair set to shadows and about 5 exposure. Repeat as needed. You can also use the brush tool in overlay mode painting with black and white but I think the dodge/burn tool give you more control since you can select shadow/midtones/highlights and the exposure.
Here is how to do what I did. Open the file of your grandma. Go to the channels pallet. copy the Green Channel. Paint everything white on you grandma up to the edges of her hair. chnique to your moms picture how ever it will take smaller steps and it will be much more difficult since her hair blends into the background better.
Not having too much luck with it since the backgrounds are so similiar you may have to use the pentool or quick mask and paint you a mask. The principles in the previous few post work somewhat but its not as good for this picture. Just not enough contrast between the hair and background. Another pic you can select by chance?