There was indeed a French ship Olinda stranded on the beach at West Wittering not far from a coastguard station in Nov. 1859 (Sussex Agricultural Express 15 November 1859), and there are a number of reports, including lists of people charged at Chichester Petty Sessions with pilfering items from the ship.
The Brighton Gazette of Dec 1st 1859 has this article:
WEST WITTERING.
On Wednesday, the 23rd inst., the body of a man, sup
posed to have been one of the crew of the French ship
Olinda, lately wrecked on the coast of Sussex, was picked
up at the entrance Chichcster harbour, and taken to
West Wittering. The body when found was quite naked,
with the exception of a dark necktie; strange as it may
appear, it was not till after the body had been put in the
coffin and screwed down (although it bad been out of the
water 26 hours), that it occurred to examine the tie, but at
the request of a by-stander, the coffin was opened, the tie
taken off, and in it was found a gold 20 franc piece, 1
franc, 2½ francs, five French copper pieces and a button,
now in the possession of Mr George Goodwin, landlord of
the ‘ Dog and Duck,” West Wittering. As there was one
of the crew missing from the above wreck, there is no
doubt this was the man.