I'm not entirely certain that this will work. Most graphene materials have been made only as proof-of-concepts, and I can't think of any ways off the top of my head to incorporate it into jewelery. Even if it could be made into a ring at a reasonable price, it's long-term durability is still questionable. One of the engineering constraints of an engagement ring/wedding band is that it should retain it's value beyond a human lifetime. Even if a graphene ring isn't vulnerable to chemical or mechanical damage, fabrication advances could render it a valueless novelty. Barring massive breakthroughs in particle physics, elemental metals are probably the best bet for materials that retain their value.
I've thought before about replacement metals for the traditional gold ring, but none of them seemed adequate, generally being low value, brittle, prone to scratching, or undesirably reactive. If you're dead set on Fullerene, I think there's been work with enhancing metals with bulk CNTs. My work is more on the electronics side of MSAE than the mechanical, so I don't know whether it'd be feasible in this case or what equipment you'd need. Nanolithography might be able to produce an inscription or interesting optical effect, and is much more in my area of expertise, but wouldn't be possible without a lab set up for it.
I'd also caution against using graphene, Buckyballs, CNTs, or nanoparticles outside of a lab environment. No one wants a repeat of what happened with radium.
If you want to SCIENCE-up a ring, your best bet would probably be to use a synthetic diamond. They're higher-quality, much more reflective of the market value of diamonds (read: not much), and none of the profit goes to ruthless monopolies or the exploitation of Africa.
Also, congratulations on getting married!