James Francis Maxwell was a politician in Queensland, Australia.

He was the mayor of the City of Brisbane and a member of the Queensland Legislative Assembly for Toowong.

On 23 July 1890 he married Alice Annie Letitia Davies at St Peter's Church at West End, Brisbane, the daughter of John Davies, the engineer and manager at the South Brisbane Gas Company who designed the (now heritage-listed) West End Gasworks.

[1][2] Maxwell was a member of the Toombul Shire Council and its chairman in 1904 and 1905.

[4] Maxwell was elected to Queensland Legislative Assembly on the 9 October 1920, for Toowong as a member of the National Party.