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It resembles many species of fungi from the top. For fungus identification, pictures of the gills (if applicable) bottom, inside, and as many of every portion of the fungus will be necessary for ID. It is not dangerous to touch, even the most deadly of mushrooms, as long as you do not ingest it.

I am unable to ID the fungus at this time.

Those are mushrooms! This one belongs to the Clathrus genus.

They are useless to humans, and can have a nasty odor. They do break down decaying material quite quickly, which provides nutrients to your soil.

I would advise leaving it to continue on. They are harmless, and do a good bit for your garden soil.

Should you still wish to remove them, this article will help:

https://www.gardeningknowhow.com/ornamental/fungus-lichen/removing-stinkhorn-fungi.htm

They are still quite young, but it looks like Leucocoprinus birnbaumii. It may be toxic to consume, but it will not harm your plant to leave them in soil. They are quite good at breaking down organic matter into raw nutrients for your plant. They can help fight off bad infections, as well.

There is no real reason to get rid of this particular mushroom, though if you still choose to, this article will help:

https://www.gardeningknowhow.com/houseplants/hpgen/getting-rid-of-mushrooms-growing-in-houseplant-soil.htm

Unfortunately, your photo did not come through.I cannot make an ID.

It could be Monotropa uniflora, or the Ghost Pipe plant, from your description. This is quite the interesting, parasitic plant.

https://www.gardeningknowhow.com/ornamental/fungus-lichen/indian-pipe-fungus.htm

Your photo did not come through. Mushrooms are hard to identify, even with a microscope. Many mushrooms dry and crack like you describe. It will be nearly impossible to determine what it is without clear detailed photos of the mushroom (all parts) the area it was found in, and a photo of the spore print.

Here are some articles on mushrooms that may be of interest:

https://www.gardeningknowhow.com/ornamental/fungus-lichen/honey-fungus-information.htm

https://www.gardeningknowhow.com/ornamental/fungus-lichen/removing-stinkhorn-fungi.htm

https://www.gardeningknowhow.com/ornamental/fungus-lichen/indian-pipe-fungus.htm

Unfortunately, your photo did not come through.

It sounds like nature is taking its course, as it should. The best course of action will depend on the fungus in question. Many will be beneficial in the situation, breaking down the stump into nutrients for the plants in the area. Some fungi can be detrimental to plant health, so it will be important to know, exactly, which fungus is present.

Treatment will depend on the fungi in question.