I don't think you normally get big, fat earthworms in a compost pile. My understanding is that the smaller red worms are normal. At least when I took a vermicomposting class, that's the type you are given.

I am sure there are many variables as to what worms eventually settle in, but the ones on my pile are huge. They are thick (1/4 inch) and long (6-8 inches) earthworms.

The birds sit on the sides and wait for them to poke their little heads up.

I've tried several different types,Alabama Jumpers are really good for Tx. compost piles and so are Brown Nose ,if you can find them.

I think we might have a mixture of worms at "play." Small Red Wigglers might be the worm of choice for controlled vermiculture composting: closed bins for composting paper, select kitchen scraps, etc. Outdoor worm composting (vermiculture) attracts the worms from the environment. Cutout the bottom of a plastic bucket, bury it in the soil so the top two-three inches remain above ground level, and keep a cover to protect the worms from rain and direct sun. Place your composting material in the bucket and the worms will come it from the bottom to devour your scraps --- Over time, worm castings remain or you can relocate the bucket to keep worms working your soil.