“A round wooden pressing mechanism from the old kitchen, it appears to have a lead pattern on the bottom.”
Answer: “It is a butter press. The mark would indicate, on market day, whose butter you were buying. Women usually made and sold butter as a means of earning some money.”
Corn Remover. Cut the kernels from the cob.
It's for both. Also good for squeezing citrus, cracking eggshells, and breaking bones. Not everything has ONE purpose.
It's both, and good on crab... although with lots of crab/lobster consumed a person gets good enough not to need anything but teeth.