Vintage 1930's-1940's Field & Schlick Lambswool Jacket w/ Fur Cuffs & Collar

I did not see any major holes or tears. Appears the jacket may be missing some button(s)? There is one metal hook and a loop in the middle. Then there is one more hook at the top but no loop (but a button where the loop should be?) I’m not sure how it works, I’m a guy, listing a woman’s clothing item. Half the time I forget to zip my own fly…you catch my drift. Not sure if the fur is real or faux? I couldn’t get ahold of my fur guy at the time of this listing. The fur shows some wear in some spots but nothing too terrible. There is no size tag, but here are the measurements: armpit to armpit measures 20 inches, the 3/4 sleeves measure 20 inches, and back of neck to bottom of jacket measures 27.5 inches. Comes from a non smoking home. Very cool, vintage jacket!