Rare-earth-doped ferromagnetic manganites LaRESrMnO (RE = Gd, Tb, Dy, and Ho) are synthesized in the form of sintered ceramics and nanocrystalline phases with the mean size of crystallites ≈30 nm. The electronic states of the dopants are investigated by SQUID magnetometry and theoretically interpreted based on the calculations of the crystal field splitting of rare-earth energy levels. The samples show the orthorhombic perovskite structure of Ibmm symmetry, with a complete FM order of Mn spins in bulk and reduced order in nanoparticles. Non-zero moments are also detected at the perovskite A sites, which can be attributed to magnetic polarization of the rare-earth dopants. The measurements in external field up to 70 kOe show a standard Curie-type contribution of the spin-only moments of Gd ions, whereas Kramers ions Dy and non-Kramers ions Ho contribute by Ising moments due to their doublet ground states. The behaviour of non-Kramers ions Tb is anomalous, pointing to singlet ground state with giant Van Vleck paramagnetism. The Tb doping leads also to a notably increased coercivity compared to other LaRESrMnO systems.