Lid and Overlayer

Lid noun - A piece placed over an open container to hold in, protect, or conceal its contents.

Overlayer and lid are semantically related. In some cases you can replace term "Overlayer" with "Lid", this nouns are similar.

Overlayer noun - Protective covering consisting, for example, of a layer of boards applied to the studs and joists of a building to strengthen it and serve as a foundation for a weatherproof exterior.

Lid and overlayer are semantically related. Sometimes you can use "Lid" instead a noun "Overlayer".