Vintage 1930/40's Infant Toddler Pink Lined Wool Coat & Hat 2T-3T

Vintage 1930's-40's pink wool lined coat and matching hat. Beautiful buttons! There are no tags in either item but I am estimating this would fit a 2-3year old toddler. Coat does have some noticeable imperfections such as a holes on the left front side as well as the lining has separated from the outer wool at the cuff on the right sleeve. Small pencil tip hole on the back bottom of the coat. The hat has a pencil tip hole in the front as well. Chest measurement: 12” Length: 13”