  We generalize the results of [AS], finding large classes of totally geodesic
Seifert surfaces in hyperbolic knot and link complements, each the lift of a
rigid 2-orbifold embedded in some hyperbolic 3-orbifold. In addition, we
provide a uniqueness theorem and demonstrate that many knots cannot possess
totally geodesic Seifert surfaces by giving bounds on the width invariant in
the presence of such a surface. Finally, we utilize these examples to
demonstrate that the Six Theorem is sharp for knot complements in the 3-sphere.
