The timeline as I see it:

Merely by existing, we have certain natural or human rights – the right to speak freely, the right to have families and children, etc.

We band together in countries and communities to form a group to PROTECT the rights we had before the community existed. We also use something like the Constitution to define new ‘constitutional’ rights we have within the framework of this community. In this case, the right to a lawyer when the community accuses you of breaking its rules. The Constitutional right describes how the government will try not to violate your human right to freedom unless you’ve been proven to have done something against other people’s rights.

So now we have human rights, a government to protect those rights, and the rights we need to protect ourselves from the government overreaching its bounds.

Now we might decide to add new rules, as the community advances, time changes, we become more wealth, etc. So we create laws that, due to their existence, create legal rights. Legal rights exist only so long as the laws creating them.

The reason this is important is as follows: If we agreed that health care was a human, or natural right, then the government would be bound to create a legal framework to protect it – legal rights codifying the natural rights. I suppose this entire argument springs from people trying to use this argument to REQUIRE universal health care. But currently the only clearly accepted health care rights are the legal rights that have been enacted through law, such as Medicaid, Medicare, SCHIP, etc.

In terms of your government argument:

You HAVE the right to private property. Without the existence of the government, it is pretty easy for someone to violate your right to private property. We create a government to protect that right and also do what we can to make sure the government doesn’t violate that right (barring stuff like eminent domain) but that right existed before the government.

How does the right to health care pre-exist government? My favorite test is, “If you’re the only person in the world, do you have this right”?

If you’re the only person in the world, you clearly have the right to private property and free speech. You even have the right to treat yourself for medical issues – but you don’t have the right for anyone else to do it.