You have a ton of comments so I’ll keep it short. Fleas are very, very, very extremely hard to get rid of once they reach critical mass. Their eggs can remain dormant for up to two years, and they’re immune to pest control methods including bombs.
My suggestion: get a pill based flea treatment, read the dosage instructions and keep it going for at least 3 months. Clean and vacuum regularly. You don’t need to buy a steam cleaner but other than that your girl is spot on.