Please actually take the time to read the statutes. The parent stated "in most states you can be required to state your name."
Note that that is far from true, generally a crime is required. The standard is very similar to Terry v. Ohio:
Alabama - A sheriff or other officer acting as sheriff, his deputy or any constable, acting within their respective counties, any marshal, deputy marshal or policeman of any incorporated city or town within the limits of the county or any highway patrolman or state trooper may stop any person abroad in a public place whom he reasonably suspects is committing, has committed or is about to commit a felony or other public offense and may demand of him his name, address and an explanation of his actions.
Arizona - A. It is unlawful for a person, after being advised that the person's refusal to answer is unlawful, to fail or refuse to state the person's true full name on request of a peace officer who has lawfully detained the person based on reasonable suspicion that the person has committed, is committing or is about to commit a crime. A person detained under this section shall state the person's true full name, but shall not be compelled to answer any other inquiry of a peace officer.
Colorado - 1) A peace officer may stop any person who he reasonably suspects is committing, has committed, or is about to commit a crime and may require him to give his name and address, identification if available, and an explanation of his actions. A peace officer shall not require any person who is stopped pursuant to this section to produce or divulge such person's social security number. The stopping shall not constitute an arrest.(2) When a peace officer has stopped a person for questioning pursuant to this section and reasonably suspects that his personal safety requires it, he may conduct a pat-down search of that person for weapons.
etc
The important part is that in most states you cannot be compelled to state your name unless it is under circumstances that have clearly articuable facts that a reasonable person would believe indicate imminent criminal behavior.