Are the words bat and field nouns or verbs?

As nouns:

- Bat: a wooden club used in the sport of baseball or cricket to hit the ball.

- Field: an open area of land, especially one planted with crops or pasture.

As verbs:

- Bat: to hit the ball in baseball or cricket with a bat.

- Field: to put or place (someone or something) in a particular position or place.