Well, the archetypal form of those sorts of characters certainly existed. Tolkein, as a professor of English, was very aware of his influences and what he was drawing on. The later horde of fantasy authors ripping him off? Probably less so.

One of the earliest expressions of what this sort of archetype was the Yeoman introduced in the prologue of Chaucer's Canterbury Tales. He is the only attendant accompanying the Knight and Squire on pilgrimage, presumably as their bodyguard since he is well-armed and they are not mentioned to be bearing weapons. Just as the Knight and Squire are idealized representations of their "types" ( the Knight is a bold crusader and paragon of chivalry, the Squire is a fresh-faced youth jousting for the hand of a lady), the Yeoman is an idealized image of what yeomen could be. He's very well-armed, carrying his longbow, a sword, a dagger, and a buckler. He has "a cropped head had he and a sun-browned face," from working outdoors and in the forests. The Yeoman's job, in peacetime, was to administer the forests on his lord's lands. This included apprehending poachers, stopping illegal logging or grazing, and watching over the deer population. Chaucer himself was once appointed as a forester, although his position was more administrative than the Yeoman's. It's never mentioned explicitly, but it's very possible that the Yeoman accompanied the Knight on crusade or in some other war. Standard English armies of the day were made up of large archer formations protected by men-at-arms. If the Yeoman did go to war with the Knight, it's possible that he would be a captain or other officer of the archers in the Knight's retinue. From his weapons and other equipment he's carrying (peacock-fletched arrows, a "gay bracer," and a silver medal of St. Christopher), it's clear that the Yeoman is economically well-off and thus the sort of person who might raise a company of archers for service in war. The Yeoman is not mentioned to be mounted, but he could certainly afford a horse if he wanted one. Mounted archers were employed by the English for rapid movement on campaign, raiding, and scouting, although for pitched battles, they would dismount and fight on foot.

So how does that connect to the ranger archetype of modern fantasy fiction? Well, the "ranger" concept is essentially a blending of the roles of a yeoman archer. The peacetime duties of a forester and the wartime duties of an archer are blended into one role. Faramir's rangers^1 are actually a semi-accurate depiction of how yeoman archers fought. In the fight where they are introduced, they seem to have a force of archers deployed behind a screen of infantry. Their strategic purpose, disrupting enemy movement through Ithilien, is somewhat similar to the chevauchées of the Hundred Years War. A real chevauchée would often be focused on looting undefended villages rather than getting into larger fights, but sometimes the English launched large-scale raids for the purpose of forcing the French to come out and face them in pitched battles, which is a little closer to what Faramir seems to be doing. Lacking access to Gondorian accounts of their campaigns in Ithilien, it's hard to say how exactly Faramir was going about it. The only observers are Frodo and Sam, neither of whom had a keen eye for military details. The rangers of the Ranger's Apprentice series are a little more fantastical, since they seem to most closely resemble a 14th century CIA than any medieval archers. Fun for telling a YA fantasy story, but not really anything historical.

To sum up, the ranger archetype in fantasy fiction is an amalgamation of several different roles a yeoman might perform. Men with experience in foresting were considered to be the best source of archer recruits for a campaign, but they wouldn't be sneaking around on the battlefield wearing some kind of medieval camouflage. In a pitched battle, they'd be fighting in formation with the rest of their company. On campaign, they might be called on for raiding and scouting duties, but that wasn't a role exclusive to men with forestry experience. So the ranger archetype has roots in literary traditions and memories of medieval English archers, but isn't really reflective of their historical reality.

EDIT (footnote) 1: That is, Faramir's rangers as they are depicted in the book The Two Towers. They're pretty much all Robin Hood in the movie.

Follow up: how effective would a "ranger" be? Is it reasonable that someone could, well, step out of the way of an arrow flying at them from a distance?