Vintage Barbie It’s Cold Outside #819 (1964-1966)
 
Brown Coat with Tan Trim or
Red Coat with Black Trim
 
Felt Coat with Belt
Matching Felt Hat

This came in two different color combinations: red coat and hat with black fake fur trim, and tan coat and hat with light brown faux fur trim.  The coat is made of felt with a big faux fur collar.  It has a belt made with the same felt and it is often missing when the coat is found.  The hat, which is also harder to find than the coat, is a matching felt with matching faux fur on the top.

The 800 series of ensembles were made in 1964 and 1965 and also included:
Cheerleader #876 (1964-1965)
Drum Majorette #875 (1964-1965)
Candy Striper Volunteer #889 (1964)