Here is the revised and polished translation, closely adhering to your instructions and the origin_text:
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"What's wrong with the surname Jarvis? Sylvia chose it herself," Old Mr. Jarvis argued, standing his ground.
"That's only because she hadn't come back to the Quintin family before. Now that she has, her name needs to be changed," Old Mr. Quintin replied stubbornly, refusing to budge an inch.
Old Mr. Jarvis asked, "Nana is just her nickname. What was her full name before?"
At that, Old Mr. Quintin's expression grew somber. "From the moment Nana was born, Georgia and I started arguing. Not long after, she left J City with Nana and gave her the nickname Nana. Later, when they came home, I kept saying we needed to give Nana a proper name, but every time Georgia and I disagreed, so we never settled on one."
Old Mr. Jarvis brightened. "Well, that just means Sylvia was the name she was meant to have all along. I don't think it needs to be changed!"
Old Mr. Quintin snorted. "Absolutely not. Tomorrow, I'll discuss this with Georgia, and then we'll have Nana officially registered under our family."
"You should ask Sylvia how she feels about it," Mr. Carnes interjected. "You can't just decide for her—what if she gets upset?"
Hearing this, Old Mr. Quintin hesitated a little, then finally said, "Of course, Nana's agreement is what matters most."
He glanced upstairs, a touch of emotion in his voice. "Tonight, Georgia and Nana are sharing a room."
Old Mr. Jarvis smiled. "Mother and daughter have known each other for a while now. This should help them feel less awkward and distant."
"Yes," Old Mr. Quintin sighed. "The more I look at Sylvia, the more she seems like one of the Quintin family."
Old Mr. Jarvis teased, "Weren't you the one who looked down on her before?"
Old Mr. Quintin flushed with embarrassment. "At that time—"
"What about it? You let Evelyn stir things up, and you developed a bias against a girl you'd never even met," Old Mr. Jarvis retorted. "You can't blame Sylvia if she doesn't pay you any mind."
Old Mr. Quintin's face reddened further. "That was my mistake!"
"Admitting it is good enough."
Old Mr. Quintin frowned. "But even now, Nana still hasn't called me Grandpa."
Evelyn stood there stiffly, biting her lip in frustration.
Breakfast was a lavish affair. Georgia served Sylvia some porridge and asked gently, "I know your company keeps you busy. After breakfast, let Gab drive you to work. We'll have plenty of time together in the future."
Sylvia nodded. "Alright."
Old Mr. Quintin jumped in, "Nana, what would you like for lunch? I'll have someone prepare it and send it to you."
Sylvia smiled lightly. "No need to go to all that trouble. There's a restaurant downstairs from my office. I'll just eat with my colleagues."
Old Mr. Quintin added, "Then come home early after work."
Sylvia hesitated for a moment, then replied softly, "There's a work event tonight. If it runs late, I'll just go back to my own place. I need to pick up a few things anyway."
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Let me know if you need further adjustments!

Comments
The readers' comments on the novel: Find me in your labyrinth (Stella and Jonathan)
Thank you for the updates....
I love it, I love it! Thank you for the updates....
Dear author Lucy, may we please have updates. Thank you....
There's a song currently playing via YouTube and TikToc by LowDii "Touch Me Softly" that makes me think of Norah and Xavier (Gonzalez). Please, I'm looking forward to updates. Thank you for your writing....
May we please have updates. Thank you....
As the plot thicken. Adrian is done for and he can't try to control Norah, so he'd probably tattle to Janice who's gone for two weeks. Thank you soooo much for the updates....
These updates were too funny. Thank you so much for the updates....
I forgot to add Amy to the group of pregnant women,since she was the first. Emily and Sylvia better be careful since pregnancy is in the air....
Wow! This is great, both Estelle and Magdalen are pregnant at the same time and I hope that Xavier is Norah neighbor. Thank you for the updates....
Author Lucy you're a blessing. Thank you so my for the updates. I hope that Norah's neighbor is Xavier she gets her memory back....