Statements I: Only a few quails are owls. No quail is a finch. Only a few falcons are herons.

'Some finches are definitely not herons' is not necessarily true. 'Some owls are definitely not finches' is true.
So, the conclusions cannot be derived from set of statements I.
Statements II: Only a few herons are owls. Some quails are herons. No quail is a finch.

'Some finches are definitely not herons' is not necessarily true. 'Some owls are definitely not finches' is not necessarily true.
So, the conclusions cannot be derived from set of statements II.
Statements III: Only a few quails are herons. Some herons are finches. All owls are herons.

'Some finches are definitely not herons' is not necessarily true. 'Some owls are definitely not finches' is not necessarily true.
So, the conclusions cannot be derived from set of statements III.
Statements IV: Only a few finches are herons. Only a few finches are owls. All owls are quails.

'Some finches are definitely not herons' is true. 'Some owls are definitely not finches' is not necessarily true.
So, the conclusions cannot be derived from set of statements IV.
Hence, none of the given sets of statements follow.