Some people appear only their first names while the others appear their full names when they like/comment on my status. For example, some people appear; Rose Dream liked/commented on your photo but some: Rose commented/liked your photo. Can I know the difference, please?
Officially it's not possible (except in Indonesia). Only Indonesian people are allowed (because in Indonesia, some people just have a single name) to have single name on Facebook. But by changing the proxy settings and language settings you can do this.
Some tricks are given in following links, and it should work: