Using the CLEO-III detector at CESR we study e(+)e(-) collisions in the center-of-mass energy close to, or above, Lambda(b)(0)(&ULambda;) over bar (0)(b) production threshold. We search for evidence of Lambda(b)(0)(&ULambda;) over bar (0)(b) resonance production and set upper limits based on inclusive hadron production as a barometer of Lambda(b)(0)(&ULambda;) over bar (0)(b) production.