“Dawn’s Rest” was, in the early part of the 20th Century, one of many places that a weary traveler could put up his feet and relax for a spell. Back in the day, Pequannock — in fact, the whole of north Jersey — was tranquil and restful. It offered a respite from busy city life (by comparison).

Mrs. Dawn’s place offered “large, airy rooms” just a short walk from the railroad station. Naturally, all the meals were “home cooked”, including vegetables from a no doubt sizable garden out back. And it was open all year, guaranteed to be “an ideal winter home for settled people”.
Dawn’s Rest, Pompton Plains, looking south (early 1900s)
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We have a pretty good idea where Dawn’s Rest was once situated: on the Turnpike, just south of Jackson Avenue. This 1937 Sanborne map marks it as “vacant”.
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Today, there’s a strip mall at that location. It’s between the Little Food Inn and the Lutjen building.
So who was “Mrs. A. Dawn”? I can’t seem to find her in either the Ancestry or FamilySearch genealogy databases. Maybe it was a pseudonym.