The word originally did not refer to a machine but rather the person who worked the machine, yes those ladies at Bletchly Park. The following is an interesting passage extracted from A History of Pi.
To return to Johann Martin Zacharias Dase. He was born in 1840 in Hamburg … all who knew him agree that except for calculating and numbers, he was quite dull … His extraordinary calculating powers were timed by renowned mathematicians: He multiplied two 8-digit numbers in his head in 54 seconds; two 20-digit numbers in 6 minutes; two 40-digit numbers in 40 minutes; and two 100-digit numbers (also in his head!) in 8 hours and 45 minutes. To achieve feats like these, he must have had a photographic memory … He calculated the natural logarithms of the first 1,005,000 numbers, each to 7 decimal places, which he did in his spare time … he compiled a table of hyperbolic functions, again in his spare time. He also offered to make tables of the factors of all numbers from 7,000,000 to 10,000,000; and on the recommendation of Gauss, the Hamburg Academy of Sciences agreed to assist him so that he could devote himself to this work, but he died in 1861, after he had finished about half of it.
It would thus appear that Carl Friedrich Gauss, who holds so many firsts in all branches of mathematics, was also the first to introduce payment for computer time.