House Finch eggs are not nearly so blotched.
House Sparrow nests are typical weaver nest and ususally located in cavities. This nest seems to have an outer structure and an inner lining. Also, House sparrow eggs are not quite that blothced. They are a bit speckled
That is a nest of
Mimus polyglottos (Northern Mockingbird).
To confirm;
Is the outside diameter of the nest ~ 7"?
Is the inside diameter ~ 3 1/8"?
Is the height (from top to bootm) of the nest ~4.5"?
Is the depth (from top to bottom of inside) ~2 3/8"?
Are the eggs ~ 24.6 mm (just under an inch) long?
And most importantly, do you have a mockingbird singing all kinds of songs all day long right outside?

The eggs will be hatching 12-14 days after the last egg was laid?