A2B Taxis website. We are an established taxi company operating from our base in Barrasford for the last 10 years, near Hexham, servicing areas across Northumberland, catering for a wide range of people's needs. We carry out a number of services starting from your everyday transport, whether it be local runs to schools, day trips to Hadrian's Wall, or other attractions in the Northumberland area. We also carry out trips to Newcastle International Airport or Train Station transfers, in rural areas for example Slaley Hall, Matfen Hall or any other hotel or tourist attraction.