This is kind of confusing. Double A AA is very common in Danish pace names. I had a schoolteacher named Mrs Aa. As you seem to have records I will take your word also if you Google very few people turn up with that as a surnmae. If the name were Danish you would find Christen Federik and Peter.
I wonder how it was pronounced.
There was also the literary historic personage Mme Celine Alvarez Baa who was an interisland trader. She found a poor white woman wearing winter garb in Bridgetown Market. It turned out to be Adele Hugo the famous French authors daughter. She rescued her returned her to Paris and became Victor Hugo's lover.
I remember Enid Baa saying that she was sure they were related.