Raising the Second Male Lead's Son

Story:

Our protagonist wakes up one day to find herself as Elia, the daughter of a bankrupt baron and a side character in a romance-fantasy novel. While on the run from debt collectors, she saves a child from an attacker -- only to be accused of being the kidnapper by the child’s guardian, Duke Kaiden. Taken to his mansion, she’s forced to live with them and be the child’s nanny. Can Elia clear up the misunderstanding and find her way out of this mess?