During a particular period, I remember my brother and I had children's faux-coonskin caps that we'd sometimes wear to play in. I was probably around age 6-7 at the time.

Per Wikipedia (its "Coonskin cap" article):

In the 20th century, the iconic association was in large part due to Disney's television program Disneyland and the first three "Davy Crockett" episodes starring Fess Parker, which aired from December 1954 to February 1955. In the episodes, which once again made Crockett into one of the most popular men in the country, the frontier hero was portrayed wearing a coonskin cap. The show spawned several Disneyland Davy Crockett sequels as well as other similar shows and movies, with many of them featuring Parker as the lead actor. Parker went on to star in a Daniel Boone television series (1964-1970), again wearing a coonskin cap. // Crockett's new popularity initiated a fad among boys all over the United States as well as a Davy Crockett craze in the United Kingdom. The look of the cap that was marketed to young boys was typically simplified; it was usually a faux fur lined skull cap with a raccoon tail attached. A variation was marketed to young girls as the Polly Crockett hat. It was similar in style to the boys' cap, including the long tail, but was made of all-white fur (faux or possibly rabbit). At the peak of the fad, coonskin caps sold at a rate of 5,000 caps a day. By the end of the 1950s, Crockett's popularity waned and the fad slowly died out....

It was definitely the mid to latter-mid portion of the '60s that I personally remember them. Very possibly it was actually in association with Fess Parker's Daniel Boone (1964-1970) series, rather than primarily his Davy Crockett series, that I remember them.

Ah, the good old days.....

Chuck Connors starred in The Rifleman, which I'd not necessarily know were it not that it's my honourary other brother's fave t.v. Western (he enjoys watching episodes of it on MeTV).

I don't believe Daniel Boone had a catchy title tune, as I don't recall any memorable theme music/song in association with it.

Davy Crockett and Daniel Boone are shows I regularly watched in childhood, that I don't believe I've seen any episodes of since then. Having said that, I think there's a distinct possibility I saw the first Davy Crockett compilation movie (which was culled from the t.v. series' first few episodes) on TCM at some point during the last five or so years, as I keep feeling like I saw something, that was very familiar from childhood, with Fess Parker as Davy Crockett, in recent years .

I was born at the beginning of the '60s, therefore significant memories don't begin till the late '60s onward (though more distinctly from the early '70s), with not too many clear memories from earlier than circa 1967-ish. I definitely remember Disney productions, as the weekly Disney showcase series (which I watched without fail) discussion thread about it here tended to air each movie and cartoon multiple times throughout the years, including the studio's productions from the earlier decades.

Yep: I definitely remember Hayley Mills. She was a fave child star.

I'm glad the world, back when we were growing up, wasn't with the technology and endless distractions and "noise" of today. Back then kids actually played, and actually interacted with others, and actually lived like "normal" children (not to mention human beings) are supposed to, rather than being sedentary little robots pinned slavishly to a device.

That Daniel Boone theme song (which I just now played the video of) only vaguely seems familiar. The Davy Crockett song definitely is catchier.

Those certainly were beautifully shot series, with the rich colour and lush scenic photography.