Observations suggest that the interstellar medium (ISM) might have been highly enriched in carbon at very early times. We explore nucleosynthesis in massive carbon-enhanced metal-poor (CEMP) stars of – formed from such an ISM with . We find substantial production of elements heavier than Fe, mostly up to Sr, by the weak \textsl{s}-process in stars with initial abundances of . Even heavier elements, up to Ba, can be produced for . The efficiency of this \textsl{s}-process is sensitive to the initial enhancement of C (or more generally, CNO) and mass of the star, with the yield increasing approximately linearly with the initial Fe abundance. The \textsl{s}-process in CEMP stars of with can be an important source for heavy elements in the Early Galaxy.

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