Golden girl,
Respite or (relief) care through our non-profit agency is funded through government grants and free to the client.
You may be receiving hospice care through a nursing agency etc. and they usually charge the client or insurance company.
Some people are eligible for both, depending on income etc. Most social workers at the hospital should know if you are eligible to receive free respite care, in addition to what you have now.
I hope you have everything you need to help you during this time.
Take care.