We search for evidence of resonant top quark pair production in 955 pb(-1) of p (p) over bar collisions at root s = 1: 96 TeV recorded with the CDF II detector at the Fermilab Tevatron. For fully reconstructed candidate t (t) over bar events triggered on leptons with large transverse momentum and containing at least one identified b-quark jet, we compare the invariant mass spectrum of t (t) over bar pairs to the expected superposition of standard model t (t) over bar, non-t (t) over bar backgrounds, and a simple resonance model based on a sequential Z' boson. We establish upper limits for sigma(p (p) over bar -> Z')center dot Br(Z' -> t (t) over bar) in the Z' mass interval from 450 GeV/c(2) to 900 GeV=c(2). A topcolor leptophobic Z' is ruled out below 720 GeV=c(2), and the cross section of any narrow Z'-like state decaying to t (t) over bar is found to be less than 0.64 pb at 95% C. L. for M(Z') above 700 GeV/c(2). RI Ruiz, Alberto/E-4473-2011; Robson, Aidan/G-1087-2011; De Cecco, Sandro/B-1016-2012; Prokoshin, Fedor/E-2795-2012; Azzi, Patrizia/H-5404-2012