Raw data obtained from the experiments carried out, are analysed and used for preparing some of the figures in the present manuscript are provided here. The data sets are provided in excel files, corresponding to respective figures. The files 'For figure-2(a)' and 'For figure-2(b)' contains columns with labels as trapped field magnitude, positions of X, and Y. These data are used to construct the 3-axis trapped field profiles as shown in Figures-2(a) and 2(b) in the paper. The files 'For Figure-3(b)' and 'For Figure-3(c), contains the columns indicating the magnetic field H (in the units of Oe) and Jc at respective temperatures of 85 K, 77 K, 65 K, 50 K, and 30 K as appropriate are provided in respective columns with columns as H and Jc at 85 K, for instance. These data are used for making X-Y plots representing the performance of 1-step BA-TSIG YBCO and 2-step BA-TSIG YBCO samples, as shown in figures 3(b) and 3(c). The file 'For figure-4(b)' contains columns with Temperature and Normalised magnetization data obtained from specimens extracted from different locations in the sample i.e. 1tb, 1td, 1tf, 1th, and 1tj. Details of these positions are indicated in figure-4(a) of the manuscript. The file 'For Figure-4(c)' contains data of applied field H (in Oe) and current density Jc (in A/cm2) for three different positions: 1td, 3td, and 5td i.e. along the a-growth region of the 2-step BA-TSIG YBCO sample. These data are plotted together to obtain figure-4(c). The file 'For Figure-4(d)' contains data of applied field H (in Oe) and current density Jc (in A/cm2) for five different positions: 1tb, 1td, 1tf, 1th, and 1tj i.e. along the c-growth region of the 2-step BA-TSIG YBCO sample. These data are plotted together to obtain figure-4(d).