Westy
Origin 1
From Middle English westi, westig ("desolate, deserted, lonely"), from Old English wēstiġ ("waste, deserted"), from wēste ("waste, desert") + -iġ ("-y"). See waste.
Origin 2
Origin obscure. Probably from Middle English westi ("desolate, deserted, lonely") see above, or possibly related to Scots weest ("depressed, uneasy, anxious").