Beautiful Vintage Red Lined Coat

Coat is missing one button and has a small ‘moth’ hole as shown in pictures otherwise in Very nice condition. No identifying tags or size label. I’m thinking it’s a medium but unsure. . Measurements are below Approx 19.5”-20” pit to pit Pit length of coat 34” Shoulder to length 44” Shoulder to shoulder 16” Shoulder sleeve length 24.5” Nap of neck length 45”