The Sword of Gryffindor
McGonagall will share anything she might know about the sword. A school heirloom. It's exact location is unknown. Created by goblins, possibly stolen from there. A rather fraught history. In discussing the sword, she would recall the one artifact from Godric they have easy access to is the Sorting Hat. However, even that the Ministry is watching Hogwarts and looking for any reason to remove her from her role at interim headmistress, they would have to proceed with caution. She doesn't think the Sorting Hat should be taken from the school grounds, but would happy to host some of her brightest students for tea. And she even offers that could come around for some of the upcoming quidditch matches and practices.