Hatstand

A hatstand was a device used to store hats and coats. They hung from prongs upon the stand.

The Doctor owned a hatstand and kept it in the console room of his TARDIS. The Fifth Doctor decided to move it out as he decided it no longer needed to have pride of place as he only wore a hat when he went out. The Doctor claimed to have another hatstand within the TARDIS and declared that he was to put them together so that he had a pair. (DW: Frontios)