Whether Los Lonely Boys is a one-hit wonder may just depend on whom you ask.

The trio, made up of brothers Henry (guitar, vocals), Jojo (bass, vocals) and Ringo (drums, vocals) Garza, hit No. 1 on Billboard’s Adult Contemporary Chart with debut single “Heaven” in 2004. The Chicano rock song, featuring an earworm hook and soulful, guitar-driven groove, was a staple on pop and country radio and earned the band its only Grammy Award to date that same year.

The single’s success launched the San Angelo, Texas-based brothers into the international spotlight after years of playing together as a trio and with their father, Ringo Garza Sr. After 14 years and five studio albums, it’s still the band’s highest-charting single. But as Jojo Garza told GO! Magazine ahead of a performance at the Tower Theatre on July 21, Los Lonely Boys has been around long enough for a new generation to discover the trio outside of “Heaven.”

“For it to be fresh still in a sense, and people not know that we are that band and then to find out that we’re that band — or to know that we’re that band and hear the array of music that’s put out — Los Lonely Boys were never a radio band,” he said. “Timing and everything is the way that goes. We’re telling everybody — they’re like, ‘Where you guys been?’ or whatever. And it’s like, look, we’ve been doing it exactly the same way we were doing it before it happened; we’re still doing it that same way now, and Los Lonely Boys have always been about music.”

That dedication has seen the Garzas through a history that has been, at times, far less than heavenly. The three brothers learned to play music from their father, who also played with his brothers for years in the Texas conjunto group Falcones in the ’70s and ’80s. He eventually moved the family to Nashville in the ’90s and formed a band with his sons, but the group didn’t take off, and the family moved back to Texas. Willie Nelson gave the nascent trio its first break after catching a show at the urging of his nephew; the outlaw country godfather would go on to showcase the band at Farm Aid and guest on the band’s 2004 self-titled debut album.

“We had to get back home, and we always wanted to be back home,” Jojo said. “We were out there doing the dream of our dad, and it was to be the family band — the first Mexican-American family country band, I think is how it’s written down in the books now. That was where we got some of our greatest practice, man, was throughout those years.”

Even before that happened, the brothers were honing a mix of brown-eyed soul, blues, rock and country. Though they were immersed in music of all styles from a young age, they really began exploring popular music on their own in their early teens, starting with Stevie Ray Vaughan.

“Even though we had grown up listening to like ‘Oye Como Va’ and ‘Black Magic Woman’ and things like that, we still didn’t really seek out Santana and/or Los Lobos, even though we knew they did the movie ‘La Bamba’ and all the music for that and everything,” Jojo said. “It wasn’t until after Stevie Ray Vaughan came into the play that a huge door was opened, and it was really opened to Henry, and he shared some of that here and there. And then of course Ringo and I started buying our own music here and there too and learning about what made that little musical tick inside us.”

The band’s most recent album, 2014’s “Revelation,” expanded the trio’s genre experimentation with conjunta-style accordion, reggae rhythms and blues-rock guitar shredding. But while Jojo said the group is constantly writing, fans may have to wait a while longer for new material.

“We really feel that there’s a lot going on with the (music) business, and if there’s something new on the horizon for the way we’re gonna release music and things like that,” he said. “So I guess you could say we’re sort of buckling down at this point. … We’re always ready to put something out, man; it’s just timing. That really is everything.”

In the years before and after the release of “Revelations,” the Garzas have faced more adversity. In 2013, the trio canceled more than 40 dates (including a stop at Les Schwab Amphitheater with Los Lobos) after Henry fell from a stage in Los Angeles. Their mother also died in 2015, according to the band’s website.

Most recently, the San Angelo Police Department’s Crimes Against Children Unit began investigating allegations of possession of child pornography against Ringo in July 2017, according to a press release released by the department on Oct. 30, 2017. The investigation is still ongoing and no arrests or charges have been filed, said Tracy Gonzalez, San Angelo Police Department’s public information officer.

“I’ll tell you this much, man: We all have to stay strong in the process of what is truth and what sometimes might seem like truth — you know, persecution, false accusation, things of that nature,” Jojo said. “You’ve gotta be strong-minded and strong-willed. It never ends, staring adversity in the face. It never ends, no matter what you do, no matter how much money you make, no matter how much money you don’t make. It never ends, and so that’s exactly what I’m talking to you about here now, man, is realizing that the world can definitely paint its own picture about all of us.”