Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
lŏcālis, e, adj. [locus], of or belonging to a place, local (late Lat.): determinatio, Tert. adv. Marc. 4, 34: locale universali opponit, id. ad Scapul. 3: aerumnae, Amm. 14, 7, 5: adverbia, adverbs of place, Charis. p. 182 P.
Hence, adv.: lŏcālĭter, locally: Besae dei localiter appellati oraculum, i. e. by the inhabitants, Amm. 19, 12, 3; Tert. Pall. 2; Cassiod. Var. 1, 35.