Normal regional trail conventions in OpenStreetmap have the name on the relation, which may pass through many communities - each of which know the section by its own name.  The local name would be the 'name' tag assigned to the local section.   In this case the local trail is signed as 'Hincapie Path'.   Most locals have forgotten the name by now and the signs are not very big.   So I'll add it back as alt_name , although this is somewhat incorrect.  https://www.facebook.com/BikeWalkGVL/videos/the-hincapie-path-is-a-lightly-used-section-of-the-prisma-health-swamp-rabbit-tr/394479299013289/