But when the group’s current CD, “Combinations,” was released in the fall, a rather surprising comparison to Fleetwood Mac surfaced in reviews and interviews.

That comparison caught singer Sherri DuPree off guard.

“The funny thing is we kept hearing that after this album came out,” she said. “We love the stuff now, but it was definitely not an influence on our writing because we had not even heard it before.”

DuPree doesn’t seem the least bit upset about those sort of comparisons. She understands what others are going through.

“We’ve always had trouble explaining where our band fits musically or what category and that kind of thing,” she said. “It’s partly the fact that it’s three girls.”

The three girls in question are sisters Sherri, keyboardist and singer Stacy DuPree and guitarist Chauntelle DuPree. Along with brother (and drummer) Weston DuPree and cousin (and bassist) Garron DuPree, they form what is one of the rare true family bands in rock music.

Together Sherri and Stacy create some delectable vocal harmonies — perhaps the reason for the Fleetwood Mac comparisons. Even so, the band’s pop sound is frequently brisker than the mighty Mac, but also more delicate than much of the modern rock currently filling radio play lists.

However Eisley’s music is described, “Combinations” represents significant musical growth for the group. The group’s full-length debut, the 2005 release “Room Noises,” received mixed reviews.

Critics viewed the songs, written mostly by Sherri and Stacy, with more than a hint of derision for their fanciful, fairy tale-like lyrical quality and romantic innocence.

The youthful feel of “Room Noises,” though, was understandable, considering how young the DuPree sisters were. Stacy, now 19, was just 10 years old when she wrote some of the material. Sherri was just 15.

The DuPree sisters also showed a notable gift for melody.

Songs such as “Memories” and “Brightly Wound” were imbued with especially striking and graceful vocal melodies.

“Combinations” retains the melodic charm of its predecessor while on a musical level growing more multidimensional (note the darker hues to the song “Many Funerals” and the folksy pulse that leads into the ear-grabbing melody of “Taking Control”).

The lyrical perspective, meanwhile, is more mature. While there are certainly songs that offer elements of romantic bliss, there are decidedly more ambiguous and complex numbers.

The romantic element that flavors “Combinations” was a natural dimension considering the changes that were happening at the time the CD was written.

Sherri was getting married to Chad Gilbert, guitarist in the band New Found Glory. Chauntelle, meanwhile, was engaged to singer Adam Lazarra of Taking Back Sunday.

But life has taken some sharp turns since then, with Chauntelle and Lazarra splitting up and Sherri and Gilbert ending their brief marriage.

“My husband decided he didn’t want to be married anymore, so we split up. It’s totally fine,” Sherri said, indeed sounding as if she has moved on emotionally from the breakup.

“It’s actually really good. We’re still friends. Things just went too fast,” she said. “It’s kind of like a crazy trip, but it’s just life. I’m doing good and I feel I’m in the best place I’ve ever been in my life right now, so it was actually a blessing that it all happened.”

The period of upheaval prompted Eisley some five months ago to put a stop to touring and take time off from promoting “Combinations” to deal with the personal issues.

But the group is now back in action, having just launched a 50-date headlining tour.

Stacy, in a separate interview, said Eisley has some surprises in store for its audiences.

“We’re doing most of the tracks off of ‘Combinations,’ of course, but I think honestly we’re going to do whatever we want,” she said. “I think we may do some older songs, some songs our fans have been requesting, that they have never heard (live). … Hopefully it can please our fans and please ourselves and everything like that.”