'Locally' definitions:

Definition of 'locally'

From: WordNet
adverb
By a particular locality; "it was locally decided"
adverb
To a restricted area of the body; "apply this medicine topically" [syn: locally, topically]

Definition of 'Locally'

From: GCIDE
  • Locally \Lo"cal*ly\, adv. With respect to place; in place; as, to be locally separated or distant. [1913 Webster]