  Due to the omission of a hypothesis from an elementary lemma in the author's
paper "Gleason parts and point derivations for uniform algebras with dense
invertible group", some of the proofs presented in that paper are flawed. We
prove here that nevertheless, all of the results in that paper, with the
exception of the one misstated lemma, are correct. In the process, we
strengthen slightly some of the results of that paper.
