When thinking about fossils, always remember they have to be accounted for by some catastrophe - a global flood is one of many possibilities. Science is finally growing out of its uniformitarian stage, which is good when thinking about fossils, because fossils are not generated through a natural, commonplace death. The organism must be killed by something which then encases its corpse in something that acts as a mold - fossilization occurs when an organism decays and the space it leaves behind is filled by other material.
None of the fossils we have today are composed of bone or other living tissue, except for a few flash-frozen creatures near the poles, who were preserved by the low temperature as a nearly-fresh corpse and cannot be properly called fossils.