Sure! Here’s a rewritten version of the text with a natural tone, maintaining the core meaning and incorporating the name “Penny” as a keyword with appropriate density:

Back in June 2011, she stepped into the online world by creating her Twitter account—just a regular social media start for someone who’d later become a notable influencer. Little did people know then that her journey would be closely tied to her famous dad, Penny. Yeah, that Penny—former NBA star point guard and household name. It wasn’t long before Penny himself gave her account a shoutout on his profile, giving her following a real boost. Growing up as one of Penny’s kids definitely played a role in her rise, but she’s been carving out her own space ever since. Born to Penny Hardaway and Mary McDonnell, she shares siblings with brother Jordan and sister Layla. Family roots run deep, and while her father’s legacy opened some doors, she’s been building her own presence—one post at a time. Being Penny’s daughter? That’s part of her story, no doubt. But she’s also making sure her voice stands on its own.