For me all this rights stuff come from Thomas Paine's Rights of Man and the Declaration of Independence and Our Constitution. But, that is jsut me, the silly American pig-dog.
In your context you mentioned:
"So I think I understand what basis Catholics come from when they talk about rights, I do not understand what basis one can have for discussing such a thing as a ‘universal right’ outside of a religion context."
This has to do with the inherant value of human beings. I guess it must be assumed that there are more than one or that for us to have rights we must be a community of people. Rights would have no value if each man was an island and didn't give a rat's hind-end about what others felt were rights.
Also, in order to define it as a right or a "given" we must agree upon it. It must be something we all take for granted. In short it should be based on common experience of people.
Yet it is something we own inside our own subjective realities.
A right is something that:
1. Community (Social).
2. Based on common experience.
3. Something we all take for granted.
Seems like we are working toward a way to communicate and get along so that we can get beyond the basics toward common goals and a common and better future.
GK - God is good!