The relationship between structure and properties has been followed for different nanoscale forms of tungsten disulfide (2H-WS2) namely exfoliated monolayer and few-layer nanoplatelets, and nanotubes. The similarities and differences between these nanostructured materials have been examined using a combination of optical microscopy, scanning and high-resolution transmission electron microscopy (SEM and HRTEM) and atomic force microscopy (AFM). Photoluminescence (PL) and Raman spectroscopy have also been used to distinguish between monolayer and few-layer material. Strain induced phonon shifts have been followed from the changes in the positions of the A1g and E2g1 Raman bands during uniaxial deformation. This has been modelled for monolayer using density functional theory (DFT) with excellent agreement between the measured and predicted behaviour. It has been found that as the number of WS2 layers increases for few-layer crystals or nanotubes, the A1g mode hardens whereas the E2g1 mode softens. This is believed to be due to the A1g mode, which involves out of plane atomic movements, being constrained by the increasing number of WS2 layers whereas easy sliding reduces stress transfer to the individual layers for the E2g1 mode, involving only in-plane vibrations. This finding has enabled the anomalous phonon shift behaviour in earlier pressure measurements on WS2 to be resolved, as well as similar effects in other transition metal dichalcogenides, such as molybdenum disulfide (MoS2), to be explained. This dataset contains supporting data for the density functional theory calculations which were the part of this work carried out at the University of Bath.The two zipped files contain all the input files supplied to the Quantum Espresso package for the two cases of pure hydrostatic strain and pure shear strain