Conversation so far:
What types of hereditary peers existed?
Types of hereditary peers included the Labour hereditary peers, the Conservative hereditary peers, the Liberal Democrat hereditary peers, and the crossbench hereditary peers.
What is the definition of Conservative hereditary peer?
Conservative hereditary peer is a hereditary peer belonging to the Conservative Party, a centre-right political party in the United Kingdom.
What is the role of a hereditary peer?
Each peer who has established his or her right to attend Parliament is issued a writ of summons to sit and vote in Parliament.

Question: Did they have any other roles?
Self-contained rewrite: Did hereditary peers have any other roles besides having the right to sit and vote in Parliament?