Exporting Individual Sprites from Larger Scene

I am designing a simple game, and have a few different layers in one ASE file.

The background layer dictates the size of the file, while characters, objects, etc are smaller and on individual layers.

I have tried exporting individual layers and have been successful but I have one issue. When I export an object, the entire size of the canvas is exported, rather than just the object.

I want to export the object and have the file contain only the graphic and not all the extra space.

Is this possible?