A search for single top quark production via flavour changing neutral currents (FCNC) was performed with data collected by the OPAL detector at the ${\rm e^+e^- }$ collider LEP. Approximately 600 pb$^{-1}$ of data collected at $\sqrt{s}$ = 189\,-\,209\,GeV were used to search for the FCNC process ${\rm e^+ e^- \rightarrow tc(u) \rightarrow bWc(u)}$. This analysis is sensitive to the leptonic and the hadronic decay modes of the W boson. No evidence for a FCNC process is observed. Upper limits at the 95\% confidence level on the single top production cross-section as a function of the centre-of-mass energy are derived. Limits on the anomalous coupling parameters $\kappa_{\gamma}$ and $\kappa_{\rm Z}$ are determined from these results.