According to tradition, upon the death of a Cardinal his galero is raised in the sanctuary of his cathedral church. The tongue-in-cheek follow-up is that the cardinal will be in purgatory until his hat disintegrates and falls to the ground. The first hat fell apart during the renovation, and the rector wished to still have one around, so he petitioned Rome for a replacement! I bet the cardinal wasn’t too pleased about that.
Cardinal Shehan’s galero hangs in the sanctuary almost directly over his tomb in the Cathedral’s crypt. It had long been a tradition of the Church to hang the red hat of a deceased cardinal in the sanctuary of his cathedral. Legend had it that when the hat falls to the ground, the cardinal’s soul has entered heaven.