Abstract: We present a study of excited charm-strange baryon states produced in e<sup>+e<sup>− annihilations at or near a center-of-mass energy of 10.58GeV, in a data sample with an integrated luminosity of 384fb<sup>−1 recorded with the BABAR detector at the PEP-II e<sup>+e<sup>− storage rings at the Stanford Linear Accelerator Center. We study strong decays of charm-strange baryons to Λc<sup>+K<sup>0</sup></sup>S, Λc<sup>+K<sup>−, Λc<sup>+K<sup>−π<sup>+, Λc<sup>+K<sup>0</sup></sup>Sπ<sup>−, Λc<sup>+K<sup>0</sup></sup>Sπ<sup>−π<sup>+, and Λc<sup>+K<sup>−π<sup>+π<sup>−. This study confirms the existence of the states Ξc(2980)<sup>+, Ξc(3077)<sup>+, and Ξc(3077)<sup>0, with a more accurate determination of the Ξc(2980)<sup>+ mass and width. We also present evidence for two new states, Ξc(3055)<sup>+ and Ξc(3123)<sup>+, decaying through the intermediate resonant modes Σc(2455)<sup>++K<sup>− and Σc(2520)<sup>++K<sup>−, respectively. For each of these baryons, we measure the yield in each final state, determine the statistical significance, and calculate the product of the production cross-section and branching fractions. We also measure the masses and widths of these excited charm-strange baryons.