Natural rights are not a justification, they simply are. That is why they are natural.

The right to property is one of those rights. It simply is. It doesn't have to be justified.

The right to life is another one. It simply is. It doesn't have to be justified.

The right to free speech is another one. It simply is. It doesn't have to be justified.

But exercising your rights can conflict with other people exercising their rights, and Natural Law allows for conflicts occurring and Order eventually being restored, preferable through peaceful means.