I'm looking for a good university where I can do my LLM in women's rights. I'm especially interested in rights at birth.
Does anyone have any recommendations?

Try the advanced search at http://www.llm-guide.com/search
There's a subject area called feminist legal studies/gender and the law. Maybe you find something there. Which country do you have in mind?

. Which country do you have in mind?

I was thinking of the UK but US is also fine.

UCL has some courses that may interest you, e.g. http://www.ucl.ac.uk/laws/prospective/llm/courses/index.shtml?llm_050