September 11, 2015 11:15 PM

When Ashley Scott‘s husband, musician Steve Hart, came up with the name Iyla Vue (pronounced “I love you”) for their baby girl, the actress admits she wasn’t immediately on board.

“I said, ‘It’s either the greatest name ever, or the absolute worst,’ ” Scott, 38, candidly tells PEOPLE. “It took us about four days after she was born to name her because we weren’t 100 percent, and then at the end I thought, ‘I just love it.’ ”

Now the UnREAL star thinks the one-of-a-kind name is the perfect fit for her “delicate, sweet and tender” 5-week-old — but not everyone in her family feels the same.

“I don’t think my mother is a big fan because I see her face when she tells people,” jokes Scott. “She says it’s a very California name. But I love it!”

Christa Renee

Scott says that now she’ll be reminded of her younger daughter whenever she expresses her affection towards somebody.

“Every time I say ‘I love you to’ someone, I’ll think of her, which is just fine,” she says. “It’s kind of great!”

But despite the mixed feelings about the moniker, Scott insists it’s a perfect fit for her baby girl’s budding personality. “She’s delicate. Iyla reminds me of lace for some reason, the eyelet lace. She’s just very delicate and quiet and sweet and precious,” the new mama shares.

While Scott — who chose not to find out the sex prior to delivery — doesn’t typically splurge on gender-specific items, she is excited to stock up on a few dresses for her second daughter.

“I feel she’s going to be a little more girly,” the actress, also mom to 5½-year-old daughter Ada, says.

“I feel more encouraged to dress her in girlier things just because I feel like that’s her vibe. I’ll certainly let her make those decisions. I don’t paint their room pink or blue. I try to allow the child to navigate their style.”

Five weeks into being a family of four, Scott admits everyone is still adjusting — including the mom of two. “My husband said the other day, ‘We better paint the kids’ room.’ And it solidified [that we have] two kids. I was like, whoa, this is the real deal!” she says.

Ada has been “super helpful” since the arrival of her baby sister — even offering to take on diaper duty by herself! — and Scott credits much of her ability to embrace her new role to the girls’ five-year age difference.

“She was able to communicate her fears. A couple months after we got pregnant, we were at the park, and she put a bunch of sand in her shirt, and she had a baby doll and she said, ‘Mama I have a baby in my tummy.’ And she said, ‘My baby’s feeling sad,’ ” Scott recalls.

“I said, ‘Well, why is your baby feeling sad?’ And she said, ‘Because she’s worried that I’m not going to love her anymore.’ And I thought, how cool that she can express that. And I said, ‘Oh no! That must make your baby feel so sad! What did you tell her?’ And she said, ‘Well, I told her that she was my favorite, but she doesn’t believe me.’ ”

Christa Renee

Scott continues, “I let that be, and then later on that night I said to her, ‘It just adds love, because when Daddy and I met, we loved each other more than we ever could have imagined. Then we welcomed you into our life, and then we had more love. It just grows.’ I think she gets that now.”

But despite all the changes, Scott makes it a point to reassure Ada the love has been multiplied, not divided.

“That’s what we kept telling our daughter — that it doesn’t take love away, it just adds love,” she says. “And it does. It just fuels the fire, it’s beautiful.”

In fact, the love is so beautiful, that Scott isn’t ruling out adding a few more babies to her brood.

“I would love to. I mean, talk to me when she’s 2 and she’s running around and I’m going crazy, but right now when she’s in the baby stage, I could have 50,” she jokes.

For more on Scott’s new baby, pick up the latest issue of PEOPLE, on newsstands now.

— Gabrielle Olya and Anya Leon

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