If one circulated a message on the internet saying that donations could save the life of a specific child, obviously if you then used the money for something unrelated there would be laws against that. But if you simply, say, A: lied about why they were in danger of dying, B: overstated the amount of money needed, C: left out the nationality of the child, and D: Used the money to save a large number of children, do you think a court would convict that?

You have just rediscovered the idea, "I know, why not just lie!" On which, see this.

I predict that (a) you would be found out, (b) if it came to court, the court would convict (fraud in a good cause is still fraud), and (c) so would the forum of public opinion.

ETA: See also.