I know you asked for rings, but the same thing goes for both titles and rings.
I'm inclined to believe it's somewhat random. I've been married numerous times and nothing has added up. I've done tons of party quests, spammed whispers + messages and left my client online all day/night with my lover and have gotten the three crappier titles (Heavenly Love, Dear Love, Destiny), but I've done the same thing and have gotten Madly In Love/Envied By All, however, that has only happened a couple of times.
On the other hand, me and my boyfriend were barely playing or talking to each other through ingame means and two weeks later, we were able to get Madly In Love... but we've done the same on other characters and did not get any special titles or rings.
I hear the titles/rings can change from day to day, but we tried that too and never saw a change. Maybe someone else could confirm that for you.
I would just play normally with your lover (or yourself, whoever you're marrying), maybe do a few more PQ and messages/whispers and hope for the best.
sorry I can't give you any magic way to get your favorite title/ring, but from getting married so many times, it doesn't seem like there is one. I wish I knew. :|
Last edited by Nikeos; 08-11-2012 at 10:35 AM.