Here's something to remember wrt to the baby being in FLA. Moe said he had to move something for his brother....Could that something have been a "someone"?
What would strike me as unusual is if neither Howard or Anna checked on the baby back in the Bahamas. I remember crying on the beaches of Waikiki on the phone when I finally reached my kids in NY.
I don't believe the baby was in Florida. I do believe that Anna had baby crap with her. I always had pampers in my purse, in my car...just about everywhere. For all we know, Anna was using a diaper bag for her makeup. Now, you or I wouldn't need one...but Anna would.
The only thing that would make a baby bottle relevant would be if Howard's finger prints were on it and Anna's were not. That would make it "a plant".