An Etymological Dictionary of the German Language/Gebühr
Gebühr, Gebür, f., ‘duty, propriety, dues, fees,’ allied to gebühren, MidHG. gebürn, OHG. giburien, wk. vb., ‘to occur, happen, fall to one's lot, devolve on by law, be due’; corresponding to OSax. giburian, AS. gebyrian, OIc. byrja, ‘to be suitable, becoming, fit’; Goth. *gabaúrjan, wk. vb., may be inferred from gabaurjaba, adv., ‘willingly’ (lit. ‘in a fitting manner’?), and gabaurjôþus, m., ‘pleasure.’ The whole class is probably connected with the root ber ‘to carry’; comp. LG. bühren, ‘to raise aloft,’ see empor; hence OHG. buri dik, ‘go (thou)’, lit. ‘raise thyself,’ giburita, ‘pervenit’; burien, büren, also ‘to come to pass.’ See Bahre, Börde.