How do I claim a real estate inheritance?

I am so sorry for your loss.  I really think that you need to consult with an attorney in the Florida area on the matter and you need to bring with you the deed to the house.  Who ever told you about the distribution may be correct but then again, they may not be correct.  While it is true that your Mother dies "intestate" and that the intestacy laws int he state will prevail, there is something key left out here: did she transfer the property in to she and her husband's name or is it considered separate property and thereby going in to the pot, so to speak, of her estate?  If it is the latter  - which is what I am assuming given the information in the question - then the personal representative can either transfer the property to you all in various shares of sell the property and distribute the proceeds accordingly.  But remember that if the estate has debts some of the money may need to go to pay them first.  You really need someone to look at the entire picture here.  Good luck.