From: Wretch Fossil on
Most meteorites contain fossil bone remains

Reason 1: Most meteorites contain chondrules (note 1);

Reason 2: Chondrules are surrounded by petrified remains of osteons
(basic units of all compact bones) as shown in Figure 1 (note 2).

Conclusion: Most meteorites contain fossil bone remains. (Bonus: Many
iron meteorites also contain fossil bone remains, although they may
not contain chondrules.)

Figure 1: showing chondrules surrounded by petrified osteon remains.
http://www.wretch.cc/album/show.php?i=lin440315&b=28&f=1176754883&p=55

Source of Figure 1 above: first photo in the Wikipedia article on
chondrules at http://en.wikipedia.org/wiki/Chondrule

Note 1: see second paragraph in the Wikipedia article at
http://en.wikipedia.org/wiki/Chondrule

Note 2:
As meteorites have been highly compacted, many lacunae and canaliculi
are missing from osteon remains, as lacunae and canaliculi are just
spaces for cellsÂ’ homes and nutrient supply routes.