Roughsedge was born in Marylebone, London, in 1823. His father, William Roughsedge, worked as an for agent for J. Schweppe & Co. By 1831, the Roughsedge family had moved to Bridge Street, Bristol, and after a few years of working as J. Schewepe & Co.’s Bristol agent, Roughsedge senior established his own company in partnership with William Summers.
On the 31st of October 1847, Frederick married a local woman named Eliza Curnick, but he remained living on Bridge Street until at least 1852. Eliza died in 1859. Roughsedge is recorded on the 1861 census as a guest of the Beaufort Arms Hotel, in Chepstow. By this date he was probably working for his father’s mineral water company.
Frederick’s father died in 1866, but the business continued to be run as partnership between William Summers and Frederick’s mother Mary until 1869. By 1881, Frederick was living at 379 Gloucester Road, in Horfield, Bristol. By this date, he was working as a clerk, which suggests that after Roughsedge & Summers ceased trading, he did not continue working for his father’s former partner. Frederick Roughsedge died in Bristol in 1890.