You asked:

is asparagus a nightshade

No. A asparagus is not a Solanum.
asparagus
asparagus

Asparagus officinalis, a flowering plant species in the genus Asparagus from which the popular vegetable known as asparagus is obtained

Solanum
Solanum

Solanum, a large, variable genus of annual plants and perennial plants, forbs, vines, sub-shrubs, shrubs, and small trees

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