I Accidentally Got Married (Again)

Have you ever had one of those nights when you're at the bar, and suddenly you realize:

• 2 of the 6 people at the table are internet-ordained ministers,
• 1 of the 6 people at the table is a Notary Public,
• 1 of the 6 people at the table is a lawyer,
  
• 6 of the 6 people at the table are pretty drunk,
• You have all the right ingredients for a quasi-legal marriage ceremony to be performed?

In other words, I think Jackie and I got married last night.  We allegedly consummated our marriage under the table when no one was looking, and I have a sparkly diamond ring crudely drawn on my left ring finger in marker. 

The ring won't wash off.  Does that mean this is legally binding??