Botanically is a derived term of botany.
As a adverb botanically
is in a botanical manner.
As a noun botany is
(uncountable) the scientific study of plants, a branch of biology typically those disciplines that involve the whole plant.
in a botanical manner
(uncountable) The scientific study of plants, a branch of biology. Typically those disciplines that involve the whole plant.
The plant life, or the properties and life phenomena exhibited by a plant, plant type, or plant group.
(countable) A botanical treatise or study, especially of a particular system of botany or that of a particular place.
* Botany Bay