Coast to Coast Walk
The famous and spectacular Coast to Coast Walk, devised by Alfred Wainwright in 1972, starts from Saint Bees in Cumbria, where the Norse Viking ancestors of the Hodgsons landed in 902 AD. The walk heads east across the Lake District, through the Yorkshire Dales and across the North Moors. These are all areas of outstanding natural beauty. Furthermore, the route moves through areas of Norse migration in the tenth and eleventh centuries, where the Hodgson surname is most common. (See Hodgson Origins.)
See http://www.coast2coast.co.uk/ for details of the walk, including possible accommodation.