Other than ships carrying messages, humans don't have Faster Than Light communications. If I can hide Florence until the star ship leaves, I'll be in good shape.
With luck, she won't be missed until they check at her true destination. That information will move along with the star ship until it comes back here in one year, two months, and seven days.
Then everything hits the fan. Fraud. Grand theft. Dognapping. Maybe even cruelty to animals.
That sounds like a good day for me to call in sick.