Two stitched fibrations $\mathcal{F}=(X,B,f,\gamma,\sigma)$ and $\mathcal{F}^{\prime}=(X^{\prime},B^{\prime},f^{\prime},\gamma^{\prime},\sigma^{\prime})$, with seams $Z$ and $Z^{\prime}$ respectively are symplectically conjugate if there are neighborhoods $W\subseteq B$ of $\Gamma:=f(Z)$ and $W^{\prime}\subseteq B^{\prime}$ of $\Gamma^{\prime}:=f^{\prime}(Z^{\prime})$ such that $\mathcal{F}|_{W}$ and $\mathcal{F}^{\prime}|_{W^{\prime}}$ are $(\psi,\phi)$-conjugate, where $\psi$ is an $S^{1}$ equivariant $C^{\infty}$ symplectomorphism sending $Z^{\prime}$ to $Z$ and $\phi$ is a $C^{\infty}$ diffeomorphism such that $\psi\circ\sigma^{\prime}=\sigma\circ\phi$ and $\psi_{\ast}\gamma^{\prime}=\gamma$. The set of equivalence classes under this relation will be called germs of stitched fibrations.