Tiger Balm,now usually labelled "Oriental" Balm (presumably for trade descriptions laws-it does not contain any ingredients from tigers),is superb for very dry skin.It is a bit whiffy when applied due to the camphor and clove oils in it but this soon wears off.Basically,it is a petroleum jelly base with natural plant oils.
I call it magic balm as it is useful for so many things-headaches(on temples or base of neck),sore skin,toothache(rubbed on jaw),back of heels in new shoes,etc.Best of all,it is available from Poundland with 2 pots in the pack.
I had a very sore big toe,which I feared was an ingrowing toe nail.I applied Tiger Balm,popped a sock on and left overnight-soreness totally gone by morning.I suggest trying this on your thumbs with a pair of light cotton gloves on overnight.
I also like to rub this balm on the nape of neck and shoulders just before bed-it eases any tension and helps with sleeping.