Bibury is a village and civil parish in Gloucestershire, England. It is on the River Coln, a Thames tributary that rises in the Cotswolds. The village centre is 6+1ā2 miles northeast of Cirencester. Arlington Row is a nationally notable architectural conservation area depicted on the inside cover of some British passports. It is a major destination for tourists vā¦Bibury is a village and civil parish in Gloucestershire, England. It is on the River Coln, a Thames tributary that rises in the Cotswolds. The village centre is 6+1ā2 miles northeast of Cirencester. Arlington Row is a nationally notable architectural conservation area depicted on the inside cover of some British passports. It is a major destination for tourists visiting the traditional rural villages, tea houses and many historic buildings of the Cotswold District; it is one of six places in the country featured in Mini-Europe, Brussels.