We present lithium, carbon, and oxygen abundance data for a sample of nearby dwarfs-a total of 216 stars-including samples within 15 pc of the Sun, as well as a sample of local close giant planet (CGP) hosts (55 stars) and comparison stars. The spectroscopic data for this work have a resolution of R~60,000, a signal-to-noise ratio >150, and spectral coverage from 475 to 685 nm. We have redetermined parameters and derived additional abundances (Z>10) for the CGP host and comparison samples. From our abundances for elements with Z>6 we determine the mean abundance of all elements in the CGP hosts to range from 0.1 to 0.2 dex higher than nonhosts. However, when relative abundances ([x/Fe]) are considered we detect no differences in the samples. We find no difference in the lithium contents of the hosts versus the nonhosts. The planet hosts appear to be the metal-rich extension of local region abundances, and overall trends in the abundances are dominated by Galactic chemical evolution. A consideration of the kinematics of the sample shows that the planet hosts are spread through velocity space; they are not exclusively stars of the thin disk.