Carpentry is defined as being the trade of cutting and joining timber in order to construct buildings or other structures. Woodworking is defined as the crafts of carpentry, cabinet-making, and related skills of making things from wood.

the art or craft of making objects from wood. Josef instructs a class in woodwork. Synonyms. carpentry. joinery.

If you say that people are coming out of the woodwork, you are criticizing them for suddenly appearing in public or revealing their opinions when previously they did not make themselves known. Since I've had this column, several people from my past have come out of the woodwork.