As hundreds of supporters turned out for a vigil
in Riverdale, Ga., on Monday night for Bobbi Kristina Brown
and Shayne Brown
— sister and nephew to Bobby Brown
— remain optimistic about her condition.
"She's progressing," Shayne tells ET's David Begnaud in an exclusive sit-down interview. "She's getting better. We just ask for people to continue to pray."
As for Bobby Brown, who has been by his daughter's side at the hospital for more than a week, Shayne and Tina say he's holding up well, given the circumstances.
"Uncle's in good spirits," Shayne said. "It's just family issues right now. Uncle just wants his privacy. The family wants its privacy."
Bobbi Kristina -- the 21-year-old daughter of Bobby Brown and the late music legend Whitney Houston
-- was discovered face down in her bath tub
on Jan. 31, and was rushed to a hospital in Rosewell, Ga., where she was put on a ventilator and placed into a medically induced coma. She was later transferred to Emory University Hospital in Atlanta.
Though Tina and Shayne have been at the hospital since day one, they have backed off a bit to give Bobby his space with Bobbi Kristina.
"I’ve been home for a couple of days to let everything just die down," Tina says. "Bobby wanted to spend time with her by himself."
It has been a difficult time for the family, with emotions swirling and media scrutiny, and the tension culminated in a bloody brawl last Thursday night
, which caused the stitches on Shayne's forehead. However, the mother and son say the family remains strong.
"At the end of the day though, the family is in good spirits," Shayne says. "Everybody's talking about the bickering and fighting that's going on between the family. At this time right now, we're just-- a lot of emotions are going on. We love each other."
Tina also takes responsibility for the fight. "I was upset, you know, I've been dealing with my niece and her being in the hospital. It was just a lot of emotions and I had a drink and I was frustrated and I was trying to make a point and I threw a glass. Unfortunately, it hit my son," she says.
"That situation was blown out of proportion," Shayne continues. "You see we're here right now. You know what I'm saying? I love her. She loves me. This is my mother. At the end of the day, family goes through things but -- just the family that we come from, it just happens to be publicized to the world."
When asked where they see Bobbi Kristina in a month, Tina envisions her niece fully recovered and back to her old self.
"Oh I don't know, we'll probably go to Fiji Islands, something, on the beach," she imagines. When asked whether she expects Bobbi Kristina to live a full life again, Tina says, "I do. Yes."
"Krissy will be good. Everything will be alright," Shayne adds.
Check out the video above for more from Bobby Brown's relatives on the state of their family.