The possible 'bones' could be minerals or other fossils.
If you want to be able to ID such rocks as you have been posting recently, you'd find it very useful to be able to cut and polish specimens (or at least cut and wet them). While weathering can tell you some things, a fresh cut surface can often be more revealing. A small rock-cutting machine would do the trick, but you'd have to learn to use it safely (eg. never wear a tie when using one - as it could fall down, get wrapped around the rotating shaft, and pull your head into the diamond blade!).
Note that, although you could use a tile-cutting saw, I do not advise it. Those are designed to take flat rock, which can be manipulated well on the flat cutting bed. But most of your specimens will be odd shapes - which really need to be clamped while being sawn - both to be safer and to get a flatted cut.
Most diamond saws should be run wet - with a jet of water. That helps keep the blade cool, reduces dust, and helps remove cut material.
What I'm saying is: cutting rocks can be worthwhile when it comes to understanding them, but it is not trivial; it is a subject I advise you to look into.