The governing entity of a local fire department that is staffed 24 hours a day, seven days a week, may designate the premises of its fire department as a safe-surrender site to accept physical custody of a child who is 30 days old or younger from a parent of the child and who surrenders the child pursuant to § 49-4-201 of this code. A local fire department that is designated a safe-surrender site shall post a sign that notifies the public that it is a location where a child 30 days old or younger may be safely surrendered pursuant to this article.