To get married you have to go in person to a drab Clark County office and file for a marriage license. After that, you take it to the Chapel o' Love, Drive-Thru Weddings, etc., and have the wedding performed. The person performing the wedding signs the license and sends it back to the county.
If she was drunk, she might not remember if she got the license or not. Time of day doesn't matter, as they have convenient 24 hour service on weekends at the marriage license office.
If they didn't get the license, they're not married. However, she should really find out. It's something that could bite her unexpectedly.