Old Bronze/Copper Coin ?

Can't see the picture.
You have to log onto the platform - so we can't see.
If picture less the 100K you can post it here, else upload to host system like flickr

I can't tell too much from the pics, but it looks Greek, rather than Roman or Byzantine, and bronze. There's a female head (or perhaps Apollo) on the obverse, and something I can't quite make out on the reverse, perhaps a bird in a tree, with Greek text underneath it - I can see a letter phi.

Bodrum is, of course, the modern Turkish name for the ancient Greek city of Halikarnassos. In ancient Greek times, bronze coins rarely travelled far from where they were struck. So the logical place to start searching is through the coins of Halikarnassos; if we can't find it there, we start working out way out from there.

Yep, that's it.

See? It didn't travel too far from it's origin after all. Only a few kilometres away!

Here's an example on CoinArchives of the same type of coin, sold in Germany in 2005.

That is indeed a good reference site for coins of ancient Turkey - I've never seen it before. I've got an "unknown Cilician silver coin", and coins very much like it are listed there - that's the first time I've seen them referenced anywhere.