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Joseph Fox, Junior (c1822-1865) of Fox of Derby
c1822 Born at Derby the son of Joseph Fox
1850 August 21st. Married Sarah daughter of W. Tempest of Burley House, near Duffield.
1851 Living in Nottingham Road, Derby: Joseph Fox (age 63 born Tatenhill, Staffs), Engineer employing twenty men. With his wife Ann Fox (age 57 born Derby) and their four children: Joseph Fox (age 29 born Derby), an Engineer Journeyman; Elizabeth Fox (age 25 born Derby); James Fox (age 23 born Derby), Engineer Journeyman; and John Fox (age 20 born Derby), Currier App. Two servants. 
1854 In Boston, USA, according to where his son was born.
1857 Took over the family business with his brother
1861 Living at 35 City Road, Derby: Joseph Fox (age 38 born Derby), Town Counsellor and Engineer Master employing 155 men. With his wife Sarah Fox (age 36 born Derfield, Derby) and their children Annie Fox (age 9 born Tourndon, Derby), Joseph Fox (age 7 born Boston, USA (British Subject)), and James Fox (age 5 born Derby). Three servants. 
1865 June 25th. Death of Joseph Fox of Derby, Engineer age 42. 
1871 February 13th. Death of his son Joseph. 'Fox. —On Monday, the 13th of February last, drowned at sea, on his passage homeward, from New Zealand, in the ship 'Merope,' Joseph, eldest son of the late Mr. Joseph Fox, of City-road, Derby, engineer, aged 18 years.' 'We regret to notice a very melancholy event, which occurred at sea, on February 13th, whereby three young gentlemen, apprentices in the New Zealand line of packet ships belonging to Messrs. Shaw, Saville, and Co., of London, lost their lives. A violent storm on the day named overtook the ship, (the 'Merope,') near the Antipodes, and the unfortunate youths were blown off the foreyard, and drowned whilst in the performance of their duty. One of them was Mr. Joseph W. Fox, eldest son of our townsman, the late Mr. Joseph Fox, of City-road, engineer. The deceased was highly respected by the captain and officers of the ship, and by all who knew him.'