The English Wikipedia infobox template could be improved to automatically fall back to a contains settlement (P1383) statement to make this more automated. The Wikimedia Commons infobox template has smarts like this to deal with category items and such. But in the case of Manypeaks, the Wikipedia article is linked to the settlement, and I’m not sure if there is any inverse to the contains settlement property. Maybe the two items could link to each other using said to be the same as (P460)?