Baked Eggs

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1 teaspoon vegetable oil

1 small shallot, thinly sliced

8 fresh eggs, at room temperature

1 plum tomato, seeded and finely diced

1 tablespoon butter

1/3 cup 35-percent whipping cream

Salt and freshly ground black pepper

1/2 bunch fresh chives, finely sliced

4 slices toast