Value of the Data •The data here presented are acquired using the recently developed Brillouin-Raman micro-spectroscopy set-up [6] for the correlative analysis of chemical and mechanical properties of biomaterials at the microscale. The technique has been tested on the analysis of single cells. •The shared data can be used by researchers involved in the characterization of cells by Brillouin micro-spectroscopy. In particular these data can be useful if compared with the ones obtained using different experimental set-ups based on the VIPAs spectrometers [[8], [9], [10], [11], [12]]. •The high spectral quality due to the high resolution and high contrast of the experimental set-up, let to collect spectra where different fitting models can be tested. Moreover the evolution as a function of the position in an elastically heterogeneous system such single biological cell, can be used to test the technique ability to probe mechanical properties at the microscales [13].