Gypsy Rose and Ken Urker have a strong connection as a couple … but, not so much during karaoke — ’cause they didn’t pick the right song for them it seems.

TMZ has obtained video of the happy couple — who welcomed their first child together late last year — at Cat’s Meow New Orleans Friday night … and, they stepped up to duet the track “Shallow” from “A Star Is Born.”

Ken’s super into the track … belting out the notes with a passion we bet Bradley Cooper can hear from his place in NYC — but, when it’s time for Gypsy to sing, the confidence just ain’t there.

However, Rose didn’t let the one awkward moment harsh her vibe at all … ’cause she got up on stage with four other ladies at one point and absolutely CRUSHED two other tracks.

Gypsy and the Roses — not an official name, but a moniker the group’s welcome to if they’re trying to go on tour — sang Taylor Swift‘s “Blank Space” and TLC‘s “No Scrubs” … and, Gypsy nailed every lyric and even moved to the beat with her pals.

It looks like a fun night out for Gypsy and Ken who are busy being new parents … and, Gypsy’s been focused on her fitness regiment, too — revealing back in April that she lost 25 pounds.