Hello again and thank you. The Lino has all gone and been disposed of. I am trying to get hold of the previous owner who, and I use the term loosely, renovated the property to find out more about those pillars. I will report findings. Thank you once again for your valued help.Lino over a presumably concrete floor will prevent moisture rising from the ground below from evaporating into the atmosphere. Water will pool on the surface of the concrete and below the lino and will ultimately spread to any skirting boards and plaster with which it comes into contact. Also, the spread pattern of the staining seems to be centred on that column beside the window and not directly below the window itself and there do not appear to be any recent water stains on the sill beam. However, in timber frame houses penetrating rainwater can migrate in rather counter-intuitive routes.
I would strongly recommend that you get rid of all the lino as a priority - it can only harm your home by inhibiting its capacity to breathe effectively.
I would also suggest that you investigate those two columns to understand exactly how they are constructed and with what materials. I have a suspicion that the original timber posts that support the beam above that room are still there and have been boxed in somehow. Those posts need to breathe and boxed in like that they will rot and fail.