UPS – Taunton, Gladstone Street – Opening Hours & Location Details UPS is directly at 28 Gladstone Street, approximately a 0.82 mile distance north of the centre of Taunton (by Jubilee Street (Adj)). The branch is situated in a convenient location for patrons from Norton Fitzwarren, Rowbarton, Taunton, Wellsprings, Firepool Lock, Firepool and Lyngford. If you plan to stop by today (Friday), its working times are from 7:00 am to 10:00 pm. This page will give you all the information you need on UPS Taunton, Gladstone Street, including the business times, address details, phone number and other relevant info.