Age of Penny (the daughter) in question?
The actress Linda Bennett plays Penny, the little girl. She is supposed to be 7, going on 8.
There's very little info about her, looks like she only had 10 roles as a child.
But the bio in IMDB lists her as:Born: June 19, 1942
With the movie being filmed in 1954 or 55, she can't be 13.