When I read the quote I immediately thought about the second half of it.  I agree with above posts that suggest that the role of the father is to provide and be happy and proud that he can, and the innocent prespective of the child is to pleased when given whatever it is that he wants or needs. 

It is a sad time though when the father needs something from the son.  The old roles, and the comfort of those roles, is forever shaken and it is a sad day when the child realizes that the roles are reversed.  The innocence of being the son or daughter (even if the "child" is an adult himself) is broken, and the reality of the fragility and/or mortality of the parent can no longer be denied for both parties.  It is a sad time no matter how much love exists in the relationship.

While I like Criminal Minds, I'm not convinced they have correctly attribued this quote.  I did a quote search, and nothing from Shakespeare came remotely close.

As far as the meaning, it reminds me of Weisel's NIGHT.  The inheritance from Elie's father was a fork and a spoon...nothing more, since all had been stripped from the Jewish people.  When Chlomo Wiesel, Elie's father, does not die as he expects, Elie returns the inheritance to him.  In this case, when the son gives to the father, it means two things--one, they both have more time together which is cause for happy tears, and two, they are both going to suffer more misery in the concentration camps and the marching between.

Really, if you are relying on a TV show as a source of accurate information.....well, I just wouldn't. They are in the business of creating entertainment, not in fact-checking on whether they have a quote source correct. It always amuses me that in "The Wizard of Oz", Scarecrow comes out with a statement about triangles that is supposed to show his "superior brains." The statement he makes is not correct.

First of all, I am quite sure this does not come from a Shakespeare play.  None of the places that allege that it is from Shakespeare give a source for it.  In addition, I used a searchable database of Shakespeare's works and there is no match for "a father gives" or "when a father."  So I do not believe that this is from Shakespeare.  A couple places say this is a Jewish proverb.  That seems more likely.

In my opinion, what this means is that a father giving to a son is fairly commonplace.  It is not the source of great emotion.  But when a son gives something to a father it is much more of a special occasion and both will be much more emotional than if it were the other way around.