Great sound, isn't it? When I first learned about jazz style voicings it opened up the world to me.
There's a whole board here devoted to the subject: The Organ Forum
Think about it. Organ players kick the root (usually) with their left foot, so they play two handed voicings that frequently omit the root-just like jazz piano players do.
Just keep listening. You're exploring "extensions". 9ths and 13ths add life and "air" to solid "locked in" triad style voicings. (Like FAC or ACE). Play A (below middle C) and then stack D-G-C on it. (Another F major voicing, very simple and light. This is called a major 6/9 voicing.) There are a ton of possibilities. Your voicing as you wrote it could be Fmaj9, Amin7, Dmin11, Bbmaj7#11 depending on the root.
Look into jazz piano voicings and the organ forum.