For the past few months, word has been leaking out to us from other artists who were there, on the premises at Peter Gabriel’s Real World Studios in Britain, when the sessions went down, and the word has been unusually good.

And this is the word: After being consigned to one-hit wonder status for three albums via “A Thousand Miles,” ex-San Francisco resident Vanessa Carlton is back with a knockout fourth set, “Rabbits On The Run,” hitting June 21 on Razor & Tie (who are also in the process of rejuvenating Nicole Atkins’ career).

We’re not kidding here — everyone who’s heard Carlton’s comeback tracks are virtually over the moon about them.

Carlton herself believes that this is the first time in 13 years that she’s captured the same unbridled effervescence she once had on her early demos. But that could have something to do with how she recorded “Rabbits” (in a stone cottage in the English countryside) and who she tracked it with (ace UK producer Steve Osborne, and musicians like Patrick Hallahan of My Morning Jacket and The Upwelling’s Ari Ingber).

Even the record’s inspiration was top-flight — Carlton based it on two of her favorite books, Richard Adams’ “Watership Down” and Stephen Hawking’s “A Brief History Of Time.”

Prepare for her righteous return at www.vanessacarlton.com.