Bring the chicken stock to a simmer in a small saucepan.
Melt the butter and oil in a large skillet.
Add the rice to the skillet and sautee over medium heat for 1-2 minutes.
Add the minced shallots to the skillet rice and sautee and additional 2-3 minutes.
Stir 1 cup of the chicken stock into the rice and shallots and stir occasionally until the liquid is absorbed.
Continue to stir and add the chicken stock (1 cup at a time) until the liquid is absorbed and the rice becomes creamy. *Note - the addition of the chicken stock to the rice should take approximately 20-22 minutes
Once the all the stock is added to the rice, stir in the corn and shrimp.
Reduce the heat to low and stir in the half-and-half, lemon zest, and parsley. Heat through (about 2 minutes) and serve immediately.