His son Edward Wyndham Tennant (1897–1916), English war poet, killed at the Battle of the Somme
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Edward Tennant, 1st Baron Glenconner (1859–1920), Scottish Liberal politician, MP for Salisbury 1906–1910
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Tennant died in June 1906 in Broadoaks, Byfleet, Surrey, aged 82, and was succeeded in the baronetcy by his son Edward, who was raised to the peerage as Baron Glenconner in 1911.