hi george and welcome to
RP.
sorry, i dont know which one of those is ms. turlington. but the overall effect on a lot of those images seems to be a bronzing or browning like you're talking about... as if the person had been out in the sun for quite a while on a regular basis.
so, changing reds to browns shldnt be that difficult. you select out the parts you want to change and use tools like 'color balance' and 'hue/saturation' on adjustment layers.
in the hue/sat layer i moved the reds slightly towards the yellows and the yellows slightly towards the reds. i desaturated a tiny bit on the yellows and lowered the brightness quite a bit.
on the color balance, i actually added more red, but somewhat compensated by adding a bit of greens. the blues were adjusted a tiny bit up and down depending on whether i was working with shadows, midtones or highlights.
skin is mostly reds and yellows. and the browns fall between reds and yellows. so, moving the yellows closer to red and red closer to yellow and then darkening seemed to be the way to go.
now, not knowing exactly the tone and shade you want, my attached is probably not exactly what you want, but it moved at least in the right direction, i believe. let me know if that's so or not.