flat5

Can someone name this movie?
Any or all of these facts may be wrong.
Movie was made between 1930-1959
Mother has to leave home and leave two preteen sons to care for themselves.
Another boy joins them.
The two older boys play a trick on the youngest using ketchup to convince
him that he killed his older brother.
The youngest boy is afraid and runs away from home to Coney Island.
The older boys realize that the mother will be upset and go to find the kid, somehow.
Most of the film is about the adventures that follow.
They all manage to get home just before mother returns.

I saw this film about 50 years ago and would like to see it again :-)