We explore the electronic structure and wave-vector-dependent magnetic susceptibility as a function of temperature, of a model magnetic superlattice fabricated from one-dimensional Hubbard chains. Each chain, when infinite in length, exhibits a spin-density-wave instability. Within mean-field theory and a random-phase-approximation description of the magnetic susceptibility, we, explore the nature of the magnetic order present when a superlattice is fabricated from such chains. Attention is directed to the approach to the limit wherein each unit cell contains many atoms, and the magnetic structure evolves from one unique to the superlattice (in the limit where each unit cell contains few atoms), to that realized for chains of infinite length (the limit where each unit cell contains many atoms).