This puzzle consists of seven very simple mazes, each with a single yellow line through it. Solving the mazes and paying special attention to where the path intersects with that line gives the following:
The flavor text of the the puzzle references both Samuel and telegraph, suggesting that Morse code is necessary to get the answer. Reading the path/yellow line overlaps as dots and dashes gives . ... -.-. .- .--. . ...
which translates to ESCAPES, the answer to the puzzle.