It sounds like they were total amateurs at boat handling and would no doubt have run into weather that they couldn’t handle sooner rather than later. They’re lucky their daughter took ill, all things considered.
Just read that the family lived in Mexico in the past year.
So, if the family moved from San Diego to Mexico, and lived in there for the past year and Baby Lyra was born in Mexico (and presumably checked by a Mexican doctor for salmonella), why didn’t the Mexican Navy rescue them?