Newbridge is a village in the civil parish of Kirkliston, west of Edinburgh in Scotland. It formerly belonged to Midlothian, but it has been on the western fringe of to the City of Edinburgh since 1975. The original village consists of a small crossroads settlement to the east of the eponymous New Bridge, which spans the River Almond. Around it is a confusion …Newbridge is a village in the civil parish of Kirkliston, west of Edinburgh in Scotland. It formerly belonged to Midlothian, but it has been on the western fringe of to the City of Edinburgh since 1975. The original village consists of a small crossroads settlement to the east of the eponymous New Bridge, which spans the River Almond. Around it is a confusion of roads and industrial estates converging on the Newbridge Roundabout, the meeting point of the M8 and M9 motorways.