Recent work has demonstrated that quantum Fisher information (QFI), a witness of multipartite entanglement, and magnetic Van Hove correlations G(r, t), a probe of local real-space real-time spin dynamics, can be successfully extracted from inelastic neutron scattering on spin systems, through accurate measurements of the dynamical spin structure factor S (k, ω). Here we apply theoretically these ideas to the Hubbard chain away from the strong-coupling limit. This model has a nontrivial redistribution of spectral weight in S (k, ω) going from the non-interacting limit (U = 0) to the strong coupling limit (U → ∞), where it reduces to the Heisenberg quantum spin chain. We use the density matrix renormalization group (DMRG) to find S (k, ω), from which QFI is then calculated. We find that QFI grows with U, becoming capable of witnessing bipartite entanglement above U = 2.5 (in units of the hopping), where it also changes slope. This point is also proximate to slope changes of the bandwidth W(U) and the half-chain von Neumann entanglement entropy. We compute G(r, t) by Fourier-transforming S (k, ω). The results indicate a crossover in the short-time short-distance dynamics at low U characterized by ferromagnetic lightcone wavefronts, to a Heisenberg-like behavior at large U featuring antiferromagnetic lightcones and spatially period-doubled antiferromagnetism. We find this crossover has largely been completed by U = 3. Our results thus provide evidence that, in several aspects, the strong-coupling limit of the Hubbard chain is reached qualitatively already at a relatively modest interaction strength. We discuss experimental candidates for observing the G(r, t) dynamics found at low U.