Final answer:
The case name is Ashcroft v. Free Speech Coalition, where the Supreme Court addressed First Amendment free speech protections regarding child por.nography laws.
Step-by-step explanation:
The case name of Ashcroft v. Free Speech Coalition is Ashcroft v. Free Speech Coalition. This case dealt with the legality of two provisions of the Child Por.nography Prevention Act of 1996, which were challenged by the Free Speech Coalition on the grounds that they violated the First Amendment protection of free speech. The Supreme Court ultimately ruled that certain provisions of the act were unconstitutional because they prohibited a wide range of speech that did not portray actual children and thus infringed on freedom of expression.