My last name is Kelly. My great aunts spelled it Kelley but their brothers dropped the second "e". The first off the boat were O' Kelley but then the "O" was lost upun entry into the US. The official spelling of the family name in Ireland was O'Calleigh. My maternal grandmother's family was named Corden in the US. We have good reason to believe that they were more like Gordon in Ireland and the Corden came from the misunderstanding of the brogue when they made it to the states.

It's all part of my family history and things that I am proud of but it is definitely history and not what I am today. Keep your name and be proud of it. There's no reason to be ashamed of Anglicised names - they are all a part of our history.