Yes, your citizenship was conferred because of your father being a citizen, whereas someone born on Guam gets their citizenship from being born in a US territory, just like being born in a state. DW received her citizenship by naturalizing and used her naturalization certificate to cruise with the first few times. (I will note that both the CRBA and NC cost money to replace, so having a more durable form of citizenship proof might be prudent. When I found out that it cost $350 to replace a naturalization certificate we got our EDLs.)