Well, hopefully it wouldn't be any time soon that we'd even have to consider what to do for a deceased member.
I hope not Knight Commander.
Since we're not a Catholic order, whatever we would end up doing would have to be appropriate no matter what the knight's religious standing is. For instance, the families of deceased US veterans receive a flag.
That is a good point Sir, since Chivalry is a Warrior Code that does have relative Moral and Virtue Parallels between religions, beliefs, traditions and so on. Ceremonies I believe must have a rite of passage attitude that marks the beginning of Moral Maturity and Virtuous Accountability of the individual who is undertaking the ceremony. More or less to mark his/her Journey of Knighthood.
A good example is the Dubbing Ceremony, sure we have seen this thousands of times at Faires, Movies, and in Reenactment events. But on an internal Moral level, the Dubbing Ceremony is a Rite of Passage for the Individual going from Squire to Knight (it does have similar meaning to a boy assuming the mantle of manhood). To me, I believe that the Dubbing Ceremony is a Rite of Passage that will serve as an daily engraved, permanent reminder of what I have become, what I am and what I represent and embody in my deeds and choices. That will not deter me from the outside influence of other people saying that I am "crazy, insane, Quixotic, get a real life" just because I chose to follow the Path of Knighthood.