September 30, 2014 07:35 PM

Holly Williams has added a new branch to her famous family tree.

The country singer and her husband, musician Chris Coleman, welcomed their first child, daughter Stella June Coleman, in Nashville at 1:45 p.m. on Tuesday, Sept. 30, her rep confirms to PEOPLE exclusively.

“I am beyond thrilled to meet her. I’m so incredibly blessed,” Williams tells PEOPLE of her little one, who weighed 7 lbs., 12 oz., and measured 21 inches long.

The new mom, 33, who is the granddaughter of Hank Williams and daughter of Hank Jr., embraced family tradition in naming her baby girl: Stella was the name of a great, great aunt, while June was Williams’s maternal grandmother.

Chris Coleman

“She was the grandparent I was closest to by far and she was just such an amazing, lovely, southern dream of a grandmother to me,” says Williams, whose song, “Waiting on June,” was written in her honor.

“It’s really important to teach my child about my grandparents and where they came from and why I was so close to them,” she adds.

Chris Coleman

Stella June arrived at just the right time for Williams and her husband, who each recently returned from long stretches on the road. Coleman is a backing musician for Kings of Leon and Williams just wrapped up touring for her album, The Highway.

“We have been going non-stop for a year and this will be our first 14 days in our house together since 2012,” she says. “This sounds crazy, but I feel like we’re about to go on vacation because we’ll be forced to not leave the house for days.”

She continues, “The thought of just being in a rocking chair with her and being still and quiet for hours and hours upon end, even if I’m exhausted, sounds like such a peaceful bonding time.”

Chris Coleman

Hello world! Our hearts are mush and we are thanking God every single second for this healthy miracle of life 🙏🙏🙏🙏🙏🙏 pic.twitter.com/YhY6SgdRiz

— Holly Williams (@hollywilliams1) October 1, 2014

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— Eileen Finan

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