Datasets underpinning the five Figures and six Supplementary Figures for "Magnetically-controlled Vortex Dynamics in a Ferromagnetic Superconductor" in Communications Materials. The primary data are a mixture of low temperature magnetisation data, taken using a SQUID magnetometer taken at the University of Bristol, and low temperature magnetic force microscopy (MFM) scan data taken at the University of Basel. Additionally, there are data derived from analysis of the magnetisation data, e.g. critical current, coercive field, as well as the results of magnetic relaxation measurements, i.e. Ueff. In addition to the MFM scan data are line profiles taken through regions of these scans. The supplementary data include further magnetisation data, as well as examples of magnetic relaxation data. Additionally, there is a further example of a line profile taken from MFM scan data, along with corresponding fitted data.