I would bet that the tomahawk is a tourist piece. Can we get a picture of the cutting edge.
Those jugs were invented about 1890. You can still buy them around here. Only a few stores in Lancaster County have them. They have the straight sided crocks for sale also. Yours is probably 80-100 years old.
The "tomahawk" looks like something kids would do. I had one like it once. Also had a rubber one with a bamboo handle.