United Relocation Alison was the sales clerk, she is slick! quoted a firm price of $1788.01 but was charged $3280.92 Boynton Beach Florida

There is no such thing as a firm price when you're provided a quote over a telephone.  In order for a quote to actually be firm, or binding, the mover must come to the residence and view all that needs to be moved.  If they come out and quote you a higher price before they leave, then you have to pay the increased price. 

If they had closed the truck, left your residence, and then said you have to pay more, that's illegal and is referred to as a hostage load.  However, it doesn't sound like you were in a hostage load situation; they loaded the truck, told you that it was more, you probably signed paperwork for the increased price - and that's that.

The moving industry runs on written paperwork only.  Quotes over a telephone are meaningless, even if they say the pricing is firm.