Most major cities have at least one hospital which provides free care.I'm proud to say that the organization I work for provides such,oftentimes we get people coming in thru our emergency room who lack insurance.We see them for the presenting illness but our financial counselor interviews them quickly, tries to get them medicare or medicaid and if they can't do that will qualify the person for full or partial free care from our hospital and not just for that specific illness but also for ongoing care and medications.
Contrary to the image of the no good bum looking to leech off the system,the uninsured are very often working people who are more than eligible for some help but not wanting to be leeches,they delay preventative care and don't come in till they are REALLY sick.