Hello @nickdemora
Fellow U.K. wayfinder here.
This particular sign is not for a defined trail/ route. It simply means the pavement here is shared.
Please do read the clarification about trail markers
Public Rights of Way (PROW) are defined set routes.
There is a good web resource rowmaps. This is your area ( at least this was the only place I found with this road name 
)
The red lines are all PROW.
To be acceptable the PROW should be substantial enough to be able to be described as encouraging exploration/exercise. I would judge the ones circled in red as short connecting passages therefore not acceptable. The one in yellow has potential as it seems to be along a river so could be quite nice walk.
This is the detail from clicking on it
The one in green should be eligible.
As well as being a PROW it is part of NCN 6 so there is clear evidence it is a decision point on a major route.
Each submission needs to be say something about what is good about that trail and if there is a “name” give it - NCN 6 or the name of the PROW
I hope some of this is helpful