with dill (vb.) to soothe, assuage (northern dialect), or Old Norse dilla to trill, to lull,
or to be a modification of derling, darling
see below from E-NED
What it Is, With All the Kinds Causes, Symptomes, Prognostickes,
and Severall Cures of it.
By Democritus Junior (Robert Burton), 1638
Part 3. Sect. 1.
Honest Objects of Love