I did the same thing for my wife, Im not sure what pattern you have but I shortened the rear leg by 1 3/4" and the arm rest by the same, that lowered the front of the seat enough for her knees to fit perfectly at the curve of the seat and her feet to touch the ground. She's 5'3"
Looking at the chairs you can't see the difference until you sit in the wrong one
If the height is the only dimension you need to alter why not just build the chair and cut two inches of height off the bottom of the legs afterward? If you modify the plans to lower the seat then EVERYTHING will need modification since the back is angled.
The bottom. Stand it up at the angle it will ultimately reside in and just measure up two inches from the floor and mark it. Or build the chair and lay a two inch wide strip of wood on the floor against the legs and trace that, tip it on it's side and cut.
What I did was to make the leg you pictured shorter in it's overall length. That way the distance from the back of the seat to the front of the seat is shorter and it also drops the front of the seat down some.
If you cut 2" off the overall height the proportions will be out of wack, since the overall size of the seat would be the same as a bigger chair
In technical terms, the way I did it, "the butt to knee and knee to foot" ratio both get shorter versus a long butt to knee and really short knee to foot ratio
I made the arms shorter too to match the reduced distance of the leg
That what I did anyway and everyone that's 5'5" and under loves that chair and can't stand the "adult" size chair
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