If you are considering walking this route yourself, please see my disclaimer. You may also like to see these notes about the maps and GPX files.
Lunch over, I continued along the path over Lodge Hill, soon passing through a small area of beech trees and then reaching an open area where there were good views in almost all directions - I think Lodge Hill is unique in the Chilterns, virtually standing on its own at some distance from any other hill (with just a very low 'ridge' linking it southeastwards to Slough Hill). I never tire of walking over it and admiring these views (I won't try to describe them, the photos will do a much better job than me). The path then dropped down the wooded western end of Lodge Hill, passing through another area of Beech trees at the foot of the slope. The path then ran between a hedge and a fence for a short way, before turning left through a metal kissing-gate. Part-way a cross a corner of a very large arable field I turned left onto a crossing bridleway (leaving the Ridgeway at this point).
View northeast from Lodge Hill towards Princes Risborough and Whiteleaf Hill
The small group of beech trees on Lodge Hill
View north over the Vale of Aylesbury from Lodge Hill
Looking back along the path over Lodge Hill
View south from Lodge Hill (on the left is Slough Hill, with the wooded ridge from Allnutt's Wood to West Wycombe Hill behind it, where I would be walking later on)
The path descending from Lodge Hill
Beech trees at the foot of Lodge Hill
The path from Lodge Hill after it turns left - I turned left by the sign (just left of the walkers coming towards me)
The path in the same field after I turned left onto a bridleway
On reaching the edge of this large field, I turned right at a bridleway junction. I soon passed Old Callow Down Farm on my left, then quickly reached the drive to Callow Down Farm, where the bridleway went a short way right (originally it went straight on, but was officially diverted about 12 years ago) before turning left along a track. Having passed the large garden around the farm, the bridleway switched to the left of a hedgerow, where initially Lodge Hill was across the field on my left. The bridleway continued alongside the hedgerow, and then gradually rose uphill just inside the right edge of Neighbour's Wood. At the top of the slope the bridleway entered the hamlet of Rout's Green, continuing along a drive. Just after this became a lane, I turned left along another lane through the hamlet.
The bridleway after I turned right
The bridleway passing Old Callow Down Farm
The bridleway passing Callow Down Farm
The bridleway continuing from Callow Down Farm
The bridleway continuing up through Neighbour's Wood
The bridleway continuing up through Neighbour's Wood
Entering Rout's Green
After I turned left in Rout's Green