It was early morning when Rory's water broke in the luxurious penthouse apartment in New York. The city skyline could be seen in the distance, but the only thing on Rory's mind at that moment was getting to the hospital.

"Mom, it's time," Rory said, her voice laced with excitement and a touch of nervousness. She looked at Logan, who was already by her side, his eyes wide with both concern and awe.

Lorelai, who had drove in the night before, was in a bit of a panic. "Okay, okay. I'm here. Let me get you to the hospital."

Logan quickly took charge, grabbing the hospital bag they'd packed earlier and helping Rory into her coat. "Mom, don't worry. We've got this. You just need to breathe."

Lorelai's eyes were already brimming with tears. "You two are having a baby. I can't believe it. Just last week, you were… well, you were just my baby, Rory."

Rory smiled, already feeling the waves of contractions again. "I'm still your baby, Mom. I'll always be. But now I'm a mom, too."

With that, Logan helped Rory into the car, and they sped toward the hospital, Lorelai following close behind in another car. The city streets seemed to blur as they rushed toward the next chapter of their lives.

By the time they arrived at the hospital, things were in full swing. Rory's contractions were getting stronger, but she was managing them well. Logan was by her side, holding her hand and whispering reassurances, never leaving her for a second.

Lorelai was pacing the waiting room, anxiously checking her watch. It had been a long few hours, and she could hardly believe this was happening. Rory, her baby, was about to have a baby of her own. The thought was surreal.

The door to the delivery room opened, and Logan stepped out. His face was pale, but there was a sense of calm in his demeanor. "It's time," he said, voice steady.

Lorelai's heart skipped a beat. "It's time? Right now?"

Logan nodded, his hand on the doorframe. "Right now. She's ready to push. Get in there."

Lorelai didn't need to be told twice. She rushed into the room, where Rory was laying in bed, breathing through the contractions. Logan got back to sitting beside her, holding her hand and rubbing her back. The love between them was palpable.

Rory turned her head as her mom entered. "You're here," she whispered, a look of relief washing over her face.

"Of course I'm here, sweetheart," Lorelai replied, her voice thick with emotion as she kissed Rory's forehead. "I'm not missing this for the world."

The next few hours were a whirlwind. Rory was incredibly strong, pushing through the contractions with Logan's support and Lorelai's encouragement. The nurses moved quickly, and the tension in the room was palpable as the final moments of anticipation arrived.

Then, just like that, a cry filled the air. The baby, a healthy little boy, was finally here. The room seemed to pause in that perfect moment. Rory's eyes welled with tears as the nurse placed the baby in her arms.

"It's a boy," Rory whispered, gazing down at the tiny, perfect life in her arms. Logan looked over her shoulder, his eyes filled with awe.

"He's beautiful," Logan said softly, placing a gentle kiss on Rory's temple.

Lorelai stepped closer, fighting tears as she gazed at the baby in Rory's arms. "He's amazing, Rory. Absolutely perfect."

With a smile, Rory looked up at her mom. "You're going to spoil him, aren't you?"

"Of course I will," Lorelai replied, a teasing glint in her eye. "You think I'd pass up the chance to spoil my grandbaby?"

Before anyone could say more, the door opened and the rest of the family filed into the room. Emily, looking regal as always, stepped in first. She immediately made her way to Rory's side, her face softening when she saw the baby.

"Well, I told you, didn't I?" Emily said with a small laugh, brushing a hand over her eyes. "Your grandfather was right. I told him you'd make beautiful babies."

Lorelai smiled, standing back to watch her mom with Rory. "That's right, Mom. Looks like Grandpa was onto something."

The nurse moved to take the baby for his first checkup, but not before everyone got a chance to hold him. Emily, with a tenderness that none of them had expected, cradled the little boy carefully, her eyes brimming with love.

"His name is Richard," Rory said softly, glancing at Logan, who nodded proudly beside her.

Richard, Emily's late husband, had been a constant force in their lives. And now, with this tiny baby named after him, his legacy lived on in a way no one could have predicted.

Back in their penthouse, Rory and Logan sat together, looking down at their son, who was peacefully sleeping in a bassinet beside their bed. The city lights twinkled outside the windows, but inside, all that mattered was their family.

Logan leaned over to kiss Rory's forehead. "We did it. He's perfect. Our son."

Rory smiled up at him, her heart full. "He's everything, Logan. Our son. I still can't believe it."

The future was uncertain, but with their son, they had everything they needed. And as they looked at their little boy, they knew one thing for sure—this was just the beginning of their beautiful family story.