It actually depends on what kinda name it is.
For example, let's say I have a character named Ittam. Ittam is not an actual name and is a word I made up. Someone then uses that name. I'd think you would be in the right to ask them not to use it. However, if it is an actual name but just very uncommon you can't really stop them from using it since it IS a name.
Overall, if it's a name you found on the internet you can't really take claim to it. If you made it up then I think you could talk with them. However, I don't think there is much you can do since it's hard to copyright a name.
Quick post, so here's some art!

By Beatphones








