Weatherly \we(a)-ther-ly, weath(e)-rly\ as a boy's name is a variant of Wetherly (Old English), and the meaning of Weatherly is "wether-sheep meadow".
The baby name Weatherly sounds like Weatherley, Weatherill, Weatherell and Wetherley. Other similar baby names are Weatherby, Wetherby and Weatherbey.