edge vs wayside

edge and wayside both are nouns.

Word	Noun	Adjective	Verb	Adverb
edge	Yes	No	Yes	No
wayside	Yes	No	No	No

As nouns, wayside is a hyponym of edge; that is, wayside is a word with a more specific, narrower meaning than edge:

edge: the outside limit of an object or area or surface; a place farthest away from the center of something
wayside: edge of a way or road or path

Other hyponyms of edge include border, hem, luff, border, molding, moulding, selvage, selvedge, berm, shoulder, roadside.

edge (noun)	wayside (noun)
a sharp side formed by the intersection of two surfaces of an object	edge of a way or road or path
the outside limit of an object or area or surface; a place farthest away from the center of something
a slight competitive advantage
the attribute of urgency in tone of voice
the boundary of a surface
a line determining the limits of an area

edge (verb)	wayside (verb)
lie adjacent to another or share a boundary
provide with an edge
advance slowly, as if by inches
provide with a border or edge