There is an interesting part in Casanova's autobiography where he is in Paris, and he is trying to sell a Lottery implementation to the governement. If I remember correctly he even meets a minister of Louis XV, but the project never really starts.

Casanova was essentially a conman always looking for new scheme to make money : he started his careers pretending having the knife of St. Peter used to cut Christ's ears, and used it as a divination tool to find buried treasure. And he later used numerology.

That gives you some ideas of who was interested in Lotteries in the XVIIIth century.