Fascinating stuff.
I'm aware of the Heavener stone in Oklahoma. But whence the New Mexico reference?
I ask because of the Three Rivers Petroglyph (between Alamogordo and Carrizozo in SE New Mexico), which I visited in the mid-sixties.
The site consists of a sprawl of basaltic boulders, most of them between knee and waist height, as I recall. At first, you're not aware of the glyphs. But, if you sit down and let your eyes wander over the site, you'll eventually spot one. And, then, you'll realize they are all around you -- everywhere.
One of the glyphs is, very clearly, a side view of a Viking ship -- complete with raised prow and stern, square sail and round shields mounted along the side rail. Either the Vikings visited this site...or somebody who had seen such a vessel had.
There were no attendants at the site (it is a National Recreational Area at the foot of the Sacramento Mountains), so I couldn't confirm what the professional interpretation was. Or even if they were aware of it -- there being literally thousands of glyphs in the area.