The title compounds were synthesized by a hydrothermal route from a 1:1 molar ratio of lithium fluoride and transition-metal acetate in an excess of water. The crystal structures were determined using a combination of powder and/or single-crystal X-ray and neutron powder diffraction (NPD) measurements. The magnetic structure and properties of Co(OH)F were characterized by magnetic susceptibility and low-temperature NPD measurements. M(OH)F (M = Fe and Co) crystallizes with structures related to diaspore-type alpha-AlOOH, with the Pnma space group, Z = 4, a = 10.471(3) angstrom, b = 3.2059(10) angstrom, and c = 4.6977(14) angstrom and a = 10.2753(3) angstrom, b = 3.11813(7) angstrom, and c = 4.68437(14) angstrom for the iron and cobalt a phases, respectively. The structures consist of double chains of edge-sharing M(F,O)(6) octahedra running along the b axis. These infinite chains share corners and give rise to channels. The protons are located in the channels and form O-H center dot center dot center dot F bent hydrogen bonds. The magnetic susceptibility indicates an antiferromagnetic ordering at similar to 40 K, and the NPD measurements at 3 K show that the ferromagnetic rutile-type chains with spins parallel to the short b axis are antiferromagnetically coupled to each other, similarly to the magnetic structure of goethite alpha-FeOOH.