New and improved upper limits for the intensity of the J = 1-0 transition of /C-14/O in seven sources are determined. Five of these clouds represent star-formation zones, and the remaining two are supernovae remnants associated with relatively high CO antenna temperatures. The observations were taken with the NRAO-11 m antenna at Kitt Peak during November 1981. Although the noise levels achieved are extremely low, no evidence of /C-14/O emission in any of the sources investigated is found. Two-sigma upper limits for the C-14/C-12 ratio are found which are between 1.2 and 4.4 x 10 to the -5th in five star formation zones, and of order 10 to the -4th and greater for the SNRs S 147 and IC 443.