It is known that under the assumption of chain transitivity, shadowing is equivalent to other, weaker variations of shadowing. For example, a sequence of points in a continuum may act as a pseudo-orbit only on a thick set. We know that such a sequence can be shadowed on a different thick set under the assumption of chain transitivity and shadowing, but we lose information about where the pseudo-orbit begins. To address this, we study a form of shadowing in which the pseudo-orbit is shadowed on a thick set $T \subseteq \mathbb N$ such that $1 \in T$. We discuss the relationship of this form of shadowing with the standard shadowing property in the context of dynamical systems on continua.