Around half of the heavy elements in the universe are formed through the slow neutron capture (s-) process, which takes place in thermally pulsing asymptotic giant branch (AGB) stars with masses $1-6\;M_{\odot}$. The nucleosynthetic imprint of the s-process can be studied by observing the material on the surface of binary barium, carbon, CH, and CEMP stars. We study the s-process by observing the luminous components of binary systems polluted by a previous AGB companion. Our radial velocity (RV) monitoring program establishes a collection of binary stars exhibiting enrichment in s-process material for the study of elemental abundances, production of s-process material, and binary mass transfer. From high resolution optical spectra, we measure RVs for 350 stars and derive stellar parameters for 150 stars using ATHOS. For a sub-sample of 24 stars we refine our atmospheric parameters using the Xiru program. We use the MOOG code to compute 1D-LTE abundances of C, Mg, s-process elements Sr, Y, Zr, Mo, Ba, La, Ce, Nd, Pb, and Eu to investigate neutron capture events and stellar chemical composition. We estimate dynamical masses by optimising orbits with MCMC techniques in the ELC program, and we compare our results with low-mass AGB models in the FRUITY database. We find enhancements in s-process material in spectroscopic binaries, a signature of AGB mass transfer. We add Mo to the abundance patterns, and for 12 stars we add Pb detections or upper limits. Computed abundances are in general agreement with the literature. Comparing our abundances to the FRUITY yields, we find correlations in s-process enrichment and AGB mass, and agreements in theoretical and dynamically modelled masses. From our high-resolution observations we expand heavy element abundance patterns and highlight binarity in our chemically interesting systems. We investigate evolutionary stages for a small sub-set of our stars.