Yes Shawn. If in fact the producers of this episode infer that young Murdoch attended a children's camp in Algonquin Park in 1875 .. well, they are off by a few decades.
A few sample dates help put the park area in some historical context ...
1846 - five million CF of pine were logged and floated down the Madawaska, Bonnechere and Petawawa rivers.
1853 - Alexander Murray ( of the Geological Survey) travelled via Canoe, Otterslide, Burnroot, Cedar and the Petawawa .. documenting the poor agricultural prospects.
1893 - The Ontario Legislature formed "Algonquin National Park".
1896 - The OAPS Railway was completed through the park, primarily for hauling logs and freight.
1908 - Algonquin's first childrens' camp was founded .. Northway Lodge for girls, on Cache Lake.
1914 - Camp Pathfinder (for boys) was founded on Source Lake.
Perhaps the episode's premise of young Murdoch's experience in "pre-park" Algonquin could be taken as an organization's "childrens' camping trip into the wilderness" .. somewhat like those conducted today in the park. However, in the year 1875 the area was much more primitive, wild and unserviced.