Wragg's father, Harry, was an extremely successful jockey and trainer, and the pair would be renowned for being the first to trial electronic timing equipment on the gallops as well as weighing their horses.
His riding career was littered with success, winning all five domestic Classics – almost repeating the feat as a trainer with only The Oaks eluding him (trained the runner-up in 1974, ironically with the future dam of Teenoso, Furioso).
However, the closest Wragg would come to replicating Teenoso's win would be some 23 years later when the unconsidered 66/1 chance Dragon Dancer came within a short head of causing one of the biggest upsets in the race's history in a four-way go-to-the-line, narrowly losing out to Sir Percy.
His 2001 contender, Asian Heights, well fancied after his last-to-first win in the Predominate Stakes at Goodwood, was cruelly robbed of his chance of running in the Classic after splitting a pastern with just over a week to go before the big race.
Red Glow was made favourite for the 1988 Epsom Derby, but the colt was a notoriously tricky hold-up ride and found plenty of trouble in running before finishing well to take fourth behind Kahyasi.
Mollers Racing's horses were purchased by bloodstock agent John Ferguson in the main, following the sale of its breeding establishment, White Lodge Stud, to Sheikh Mohammed.
Island House's progress was rather more gradual, still a maiden in the autumn of his three-year-old career but breaking his duck in a classified event at Pontefract in September 1999 and following up in a handicap at Ayr a month later.
Ivy Creek was a son of Gulch who won the first two races of his career, and he was desperately unlucky to not maintain his unbeaten record in the 2006 Dee Stakes at Chester, short of room at a vital stage and only just failing to reel in Art Deco by a neck.
He proved disappointing in the Hampton Court Stakes at Royal Ascot the following month when favourite, but went on to fulfil that early potential the following summer with a pair of victories at Listed level at Goodwood and Pontefract.
The silks were still in use until 2013 despite Wragg's retirement, with near-neighbour and fellow trainer Chris Wall subsequently housing a small number of Moller horses including the reasonably useful middle distance staying handicapper Snow Hill.
In fact, she would be his penultimate ever runner, with that honour, perhaps fittingly, falling to one of his old stalwarts in latter years, smart all-weather performer Grand Passion, though he could only manage a ninth-place finish in the Listed Churchill Stakes at Lingfield.