Of course it would depend on the area. It would also depend on the means of the family, the vanity level of the woman, etc. etc. etc.
At the time this picture was taken, Park City was still a thriving mining town. It was on a main rail spur to Salt Lake City, and it didn't lack for availability of ammenities. That the family was living in a dugout is probably due to the rapid increase in workers at the mine in the lead up to World War II.