TMZ reported that trademark applications have been filed for the twins' names by BGK Trademark Holdings, the same company that owns the trademarks to Beyonce and Jay-Z's names.
The superstar shared key moments of her pregnancy online with her followers, including her 'Carter Push Party' which she held with her closest friends and family.
The baby shower was attended by her former Destiny's Child band mates Kelly Rowland and Michelle Williams, tennis player Serena Williams, her mum Tina Knowles, La La Anthony and Vanessa Bayer.
She posted a series of photos, including one where she had a henna tattoo on her belly while she wore a string bikini and sarong.