I don't think any of mine were buried at Spitalfields in the 19th century, it may be that it was already getting full? There is an excellent book 'Life and Death in Spitalfields', about the graveyard there as the graves were all excavated about a decade back with great care by an archealogical team as part of the renovation process. Christchurch Spitalfields was at one point listed to be demolished, in the late 60's early 70's, but the local commmunity succesfully campaigned to save it, and a 30 year renovation process, costing 10 million pounds in all, was started to restore it to it's original state, which was finally completed last week, and it has now at last fully opened again for use.
Also re the French Hospital and the wait for a place, if they were in urgent need, ie every ill, no family etc they were placed on catogary A, priority, and some very lucky ones were admitted very quickly. There would also be an element of luck, if you could call it that, in as much as a place could become free with death of an existing patient. However most went onto catogary B, and could wait up to 7 to 8 years, so 2 years is not that bad. Quite a few died on the list before a place became free. Two things would have aided Francis, being born in France, he was unlikely to have had parish settlement in Bethnal Green or Spitalfields, and to be eligable for the local parochial relief system, and secondly he was a 'confessor' having spent 3 years in prison for the faith in France. They would be very unlikely to turn someone like that away.