Eirian \e(i)-rian\ as a girl's name is of Welsh origin, and the meaning of Eirian is "silver". Modern name.
Baby names that sound like Eirian are Eirinn and Eirin. Other similar baby names are Tirian, Cerian, Darian, Dorian, Eilin, Eilean, Eira, Eireen, Eirwen, Erin, Erinn, Eirynn, Eiryn, Airin, Eiren, Kiriana, Lorian, Marian, Miriana, Miran, Niran, Siriana, Tirion and Tirien.