Educated at Eton, Lomax had, according to his obituary in Wisden Cricketers' Almanack, "an Edwardian sense of style and 18th century zest". A middle-order right-handed batsman and an enthusiastic though irregular fast-medium bowler, Lomax was termed "a grand stroke-player" as a schoolboy cricketer in 1949 and did not change his hard-hitting methods much over the years. He started playing for Wiltshire in the Minor Counties in 1950 and made his first-class cricket debut in 1952 for the Free Foresters in a match against Cambridge University. Other individual matches for teams largely composed of amateurs followed in other seasons, and in the summer of 1961 he was a member of a tour organised and captained by former Surrey captain Stuart Surridge to Bermuda. Lomax's only full-time first-class cricket was a series of six games he played for Somerset at the start of the 1962 season which, according to one account, fulfilled "a long-cherished wish to sample county cricket". Batting in the lower middle order, he had one spectacular innings, making 83 in just 64 minutes, with three sixes and 10 fours, to bring Somerset within sight of an unlikely victory in the match against Hampshire at Taunton. But he left Somerset before the end of May 1962 and did not reappear in first-class county cricket. Lomax went back to Minor Counties cricket with Wiltshire across the 1960s, regularly captaining the side. In both 1965 and 1969, Wiltshire qualified, as one of the better-performing Minor Counties, for the knock-out phase of the Gillette Cup and though both matches were lost quite comfortably against first-class opposition, Lomax did well in both games. Against Nottinghamshire in 1965, he made 50 out of a Wiltshire total of 157. And his 63 out of 147 against Essex in 1969 included 16 off an over from EnglandTest bowler Robin Hobbs and won Lomax the man of the match award. He played for Wiltshire until 1970.
Outside cricket
Lomax was a farmer at Baydon in Wiltshire and also had extensive interests in horse-racing and hunting. He was master of the Craven Farmers' Hunt and for some years held a racehorse trainer's licence, although the actually trainer was his first wife, Rosemary, who was at the time barred from holding a trainer's licence by the-then rules of the Jockey Club. The Lomaxes married in 1953 and were divorced in the early 1970s; a daughter, Sarah, was the wife of the racing driverJames Hunt.