Guessing:
10 - Maybe part of an old (since it isn't decorative) swing-bar
assembly of a casket handle, that, for some reason, has been removed,
broke off, fell off?
http://www.geneva-mfg.com/swing/tigeren.gif
Googling "casket hardware" --- sites --- several pics of various
hardware with somewhat similar (?) round/rod parts: Tips,
escutcheons, hinge caps, but nothing exactly as pictured in the
initial post.
http://sterlingcaskethardware.com/products8.php
Sonny