The possibility of generating entanglement between two solid-state electron spin-qubits by spin-dependent scattering of a third, propagating electron is attractive. A process of this kind could work well beyond the range of the direct interaction between the two spins. In this study, the binding of electrons in one-dimensional structures is theoretically modeled using a real-space analog of the Anderson model. The respective binding sites are arranged in two different geometries. The first is a straightforward series arrangement, and the second a parallel arrangement in which the binding sites are embedded in either arm of an Aharonov-Bohm style ring. For the series arrangement, the entanglement between the bound electrons is calculated and is shown to be low (concurrence
<0.2) in all regions of significant transmission. In contrast, the parallel arrangement allows full entanglement to be generated from a ${S}_{z}=1(\ensuremath{\mid}\ensuremath{\uparrow}\ensuremath{\uparrow}⟩)$ or ${S}_{z}=0(\ensuremath{\mid}\ensuremath{\uparrow}\ensuremath{\downarrow}⟩)$ starting configuration with an overall probability of success up to 0.5.