In 1914, Martin Brady was living in Coleford, where he worked as a cook. He signed on with RGA on 21 November 1914 in Bristol.
He deserted from Plymouth on 28 January 1915 and was listed as a deserter in the Police Gazette on 16 February 1915. A court of enquiry was held on 26 February 1915 to discuss his case and to make a list of his belongings.

There is no reference to a Martin Brady being born in Gloucestershire or in online records that follow his desertion. He has a surname that is common in Ireland, so it is possible he escaped to Ireland, where he would find it much easier to avoid detection by the authorities.
The surname Brady primarily originates from Ireland, derived from the Gaelic Ó Brádaigh or Mac Brádaigh, translating to “descendant of” or “son of” Brádach