What is the function of "for" ?

Hello everyone.

I have a few sentences I am not sure about the function of the prepositional phrase "for+noun".

For examples;

1-) She took them to a safe area for children.

What does "for children" refer to? Is it an adjectival referring to "area" or adverbial referring to "safe" ?

An area for children which is safe, or An area which is safe for children?

2-) He showed me a reserved table for us.

The same question.

Is there any possibility that "a reserved table for us" means "a table which is reserved for us"?

I don't think so eventually.

"A reserved table for us" can't mean "a table which is reserved for us".

I am not sure but I am thinking like this.

What do you think? Thanks in advance.