Which preposition to use with frostbitten

in Occurrences 2%

The outlook was dreary in the grey light of early morning, our clothes were frozen stiff and our fingers, wet and cold in the tent, had been frostbitten in packing the sledges.

about Occurrences 1%

Every member of the party was frostbitten about the face, several with very cold feet.

at Occurrences 1%

The fatigue of the prolonged march told on Simpson, whose whole face was frostbitten at one timeit is still much blistered.

on Occurrences 1%

I got frostbitten on the cheek lightly, as also did Cherry-Garrard.

Which preposition to use with  frostbitten