Rex Kyouryuu Monogatari

From Be With You Scans:
Chie is a young girl with wonderful parents to look up to; her archaeologist father lives with her in Hokkaido, and her mother is a great scientist working in America. During a local cave excavation, Chie and her father discover Tyrannosaurus eggs, and they're about to hatch! This little girl becomes their mother, and does what she can to protect them from those who want to experiment on the little baby rex.