  The electric dipole form factors and moments of the ground state baryons are
calculated in chiral perturbation theory at next-to-leading order. We show that
the baryon electric dipole form factors at this order depend only on two
combinations of low-energy constants. We also derive various relations that are
free of unknown low-energy constants. We use recent lattice QCD data to
calculate all baryon EDMs. In particular, we find d_n = -2.9\pm 0.9 and d_p =
1.1\pm 1.1 in units of 10^{-16} e \theta_0 cm. Finite volume corrections to the
moments are also worked out. We show that for a precision extraction from
lattice QCD data, the next-to-leading order terms have to be accounted for.
