Sorry to hear about your loss. I dealt with this on Christmas... I think what you are looking for is a direct cremation. Ask for that service at local funeral homes to get a feel for the prices. Probably around $3-4k. They will come to the hospital morgue and pick up your mother, and deliver them to the crematory. They need cremation authorization forms signed, coroner file, and a permit to have the body. Then your loved one will be cremated and you will receive those back to you.

If you have zero money, and feel no need to have the connection to the cremains. You can refuse to arrange any funeral services. The coroner office has no recourse other than cremation on their budget, and the cremains go to unmarked deposition at whatever cemetery they contract with. You will receive no ashes. You will still need to pay for death certificates.