The couple’s twins, reportedly a daughter and a son, may be named Rumi and Sir Carter, according to trademark documents filed to the United States Patent and Trademark Office on Monday and obtained by PEOPLE.
Beyoncé and JAY-Z’s company has filed papers to trademark the apparent monikers for everything from fragrances and cosmetics to baby gear, tote bags and water bottles.
TMZ was first to report the news.
“I apologize often womanize / Took for my child to be born / See through a woman’s eyes / Took for these natural twins to believe in miracles / Took me too long for this song / I don’t deserve you,” he says.
A source previously confirmed to PEOPLE that Beyoncé and JAY-Z had welcomed the twins and were “thrilled” to have expanded the family. “[They] have started sharing the news with their family and closest friends,” a source said.
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“We would like to share our love and happiness. We have been blessed two times over,” Beyoncé wrote alongside the snap, which showed her posing in a burgundy bra, sky blue panties and green veil amid a floral backdrop.
“We are incredibly grateful that our family will be growing by two, and we thank you for your well wishes. – The Carters,” the Grammy winner added.
The new additions to the family have been a while coming. As a source close to the “Formation” singer and JAY-Z, 47, told PEOPLE exclusively following the couple’s announcement, “They wanted another child and after a few years of trying, it’s a great feeling. Beyoncé’s very happy.”
Throughout her pregnancy, the singer has made appearances at events like the 2017 Grammy Awards (where she also put on a show-stopping, goddess-inspired performance), the Beauty and the Beast L.A. premiere and more, showing off her baby bump in various glam duds — oftentimes alongside her mini-me Blue.
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JAY-Z and Beyoncé took some time out from prepping for the twins’ arrival with a Bora Bora babymoon in April around the time of the couple’s ninth wedding anniversary (the singer had previously been set to perform at Coachella that month, but rescheduled for 2018 due to pregnancy-related doctor’s orders).
“She is surrounded by her family and is taking it easy,” a source told PEOPLE exclusively in April of the singer. “She doesn’t venture out very much, but seems happy going for an occasional lunch or taking [Blue] to school.”
“They haven’t found the perfect house to buy yet, so they’ve been making room for the babies at the rental house for now,” the source shared of the family’s luxe Beverly Hills accommodations, adding that Beyoncé had been touring maternity suites at a hospital in L.A.
“It’s their home base now, and this is where Blue goes to preschool,” added the source of the now family of five. “They’re all very happy in L.A.”
Beyoncé celebrated becoming a second-time parent in late May, surrounded by family and friends — including mom Tina Knowles Lawson, La La Anthony, pregnant Serena Williams and Bey’s former Destiny’s Child bandmates Kelly Rowland and Michelle Williams — at a fun-filled “Carter Push Party.”
Baring her baby bump, which was decorated in henna, Beyoncé danced with now-dad-of-three JAY-Z while guests snapped photos and shared in the joy.
“She’s holding it down for so many other women that are with child and showing them, okay, still be as fierce as you feel and as you can because some women do have a hard time and don’t feel as great all the time,” Williams told reporters at April’s Inaugural Wearable Art Gala of her then-pregnant friend.