Well, it is a fact that to be elected in Ireland it does help if you have a name early in the alphabet. It's a striking phenomenon that academics have noticed. If your name begins with “A”, “B”, “C”, or “D”, that helps you. If it begins with “Z“, actually, that's okay too. If it begins with “M” or “O”, that's not so good; you're lost in the middle. It's something that people have noticed, but it still goes on. Personally, I think randomizing the order of names would be a good idea, but it's not mandatory.
Evidence of meeting #7 for Electoral Reform in the 42nd Parliament, 1st Session. (The original version is on Parliament’s site, as are the minutes.) The winning word was ireland.
A video is available from Parliament.