Unfortunately this would not qualify for the first time homebuyers credit. In order to qualify for this credit, you must actually purchase the home. It cannot be acquired through inheritance, or as a gift or any other means other than an actual purchase. The money you paid to have the trailer moved and the cost of the raffle ticket and the taxes you paid on the prize would not constitute a purchase.
The other requirement of this credit is that the home which is purchased must be used as your primary residence, meaning you must actually live in that home all of the time and use it as your main residence, and I am assuming this is not the case with the travel trailer home that you won. But even if it were, it would not qualify since the trailer was not obtained through an actual purchase.
You could sell the trailer and then use the sale proceeds to put down on the purchase of a home, and then that subsequent purchase would qualify, as long as you meet all of the other requirements.
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Thank you Misty