Here is the members list from volume 1 of the British Numismatic Journal (1903). It wouldn't be an understatement to say that there was a fair bit of royal interest.
Quote: "Camerinvs"By "Her Majesty The Queen" do they mean Queen Victoria (who had passed away two years earlier) or the wife of the current king, Edward VII?
It says at the bottom that it includes all members elected prior to 27th July 1905. It must have been Queen Alexandra as I don't see why they would keep a deceased member on the list. Also all of the named monarchs were alive as of 1905. I suppose it would make sense to place the British Queen Consort at the top of the list as the highest ranking British royal. Perhaps Edward VII just wasn't interested. He had other things on his mind, they didn't call him Edward the Caresser for nothing.
Although, I do wonder if Queen Victoria had an interest in numismatics. I did come across one article (from the 1960s, I think) which mentioned that Queen Victoria purchased several coins from a discovered Scottish hoard. I wonder if this was a personal acquisition by Victoria or if one of the curators of the royal collection was just expanding its numismatic holdings. I didn't save a copy of this article as its not relevant to what I'm studying at the moment.
Quote: "redsmithstudios"Who and why did they call him the Caresser, I don't actually know much about his reign
He was a prolific womaniser. Here's an interesting documentary on George V: https://www.youtube.com/watch?v=3Rgy0U-vir0 It goes into a bit of detail on Edward VII as Prince of Wales and King.