Lugii and last name Długosz

Is the tribe Lugii (later longinoes) mentioned by Tacitus/Stabo, and Ptolemy around the Vistula river and south Poland connected with the last name Długosz. Both meaning "long" also is there a connection with the Celtic/irish god Lugos/lugus/lugh which was worshipped in the tribe?

That question is almost impossible to answer without extracting DNA from old graves and even then it would involve guessing.