  We describe a sensitive targeted search campaign at Parkes to find faint
young radio pulsars using the center beam of the 20-cm multibeam receiver. The
high frequency of the receiver mitigates scattering effects which can dominate
profiles of distant pulsars at low frequencies and prevent detection. The
targets included several composite supernova remnants (SNRs), two fast X-ray
pulsars, long-period anomalous X-ray pulsars, and a soft gamma repeater. The
sensitivity limits in this search are significantly better than those
previously reported for these objects. We have discovered three new radio
pulsars, two of which are not associated with the target objects. The third
pulsar, PSR J1713-3949, is possibly associated with SNR G347.3-0.5; the
estimated ages and distances of the two objects are consistent, but a more
significant positional coincidence must be established with the central X-ray
source in the SNR through pulsar timing to confirm or refute the association.
