A bit of guesswork here, but I think we may have been putting the cart before the horse on this one.
After years of planning, they laid the railway through the existing market gardens in 1888. This would have meant market gardeners lost access to land on one side of the railway. To regain access to these gardens and greenhouses meant they had to open a private green lane (unmetalled rural route) through their own property from Green Lane itself. So, Wood Lane would have been there before they built Granville. Who knows, there could have been a small orchard or wood along the lane, hence the name. Nobody would have enough interest in purchasing road name plates. The Village was just a small community, and those who worked the gardens would have been aware of the lane.
The council of the time wouldn’t have adopted it, because it only gave access to gardens. And, when they built Granville and Marshlands, the council adopted that part of the lane, and cobbled it. I suppose it would have been too confusing to nameplate it, as it was now just entry access for the houses that ended at a private unadopted lane.
They could have built the buildings at the bottom of Granville to house the all year-round garden workers. Tied cottages were cheaper than paying the full rate for the job. In the harvesting season, lots of Irish came over as seasonal help. The other buildings look to me like Greenhouses, and storage sheds.
If you look at the picture on: - https://ar-ar.facebook.com/HiddenWi...cosmo-opened-on-the-12t/815755341928702/
You can see the pavement doesn’t continue from the end of the Cosmo, but starts again at the old Farmers Arms. The perspective seems to show a passageway, but seems smaller than the one nearest the camera (Wirral Villas).
The 'Cosy Cosmo' opened on the 12th May 1913