  Let $C$ be an elliptic curve, $w\in C$, and let $S\subset C$ be a finite
subset of cardinality at least $3$. We prove a Torelli type theorem for the
moduli space of rank two parabolic vector bundles with determinant line bundle
$\mathcal O_C(w)$ over $(C,S)$ which are semistable with respect to a weight
vector $\big(\frac{1}{2}, \dots, \frac{1}{2}\big)$.
