The Utah County (yes there is a county in Utah called Utah) Clerk's office has given in and will perform Same Sex Marriages. In addition the County Clerk's offices in Box Elder County and San Juan County haves said that they will also be issuing Licenses to same sex couples. This leaves exactly one county that hasn't said they will issue Licenses to Same Sex Couples: Piute.
The Piute County Clerk's office has not indicated that they will perform same sex marriages. The reason for this according to one of the county commissioners is... the Piute County Clerk, Valeen H. Brown, has been on vacation since before the ruling was handed down and the clerk is the entire office. The County Clerk also serves as the Auditor. The clerk normally issues about 3 marriage licenses a year for the county of about 1,500 people.