So it should come as no surprise that she is planning where to spend her 68th birthday in four years, with a third appearance at the Paralympics, in Rio, the clear ambition.
Murray, the oldest member of Great Britain's Paralympic team, marked her 64th birthday by qualifying eighth in her classification at the Royal Artillery Barracks in Woolwich.
As others struggled with driving rain and swirling winds, an upbringing in the Borders meant Murray was able to keep focused.
"I don't think I've ever grown up. I'd just like it to keep on going as long as it gets me out of bed in the morning and keeps my interest. I don't do sitting and watching the television. I reckon I can do another Games," she said. "If I can stay fit enough and still put in the scores there is nothing to stop me doing Rio, I would certainly work towards that."
Edinburgh's Sean Fraser believes he paid the price for enthusiasm as he made a solid start to his Paralympic swimming campaign. Fraser competes in five events in London, where he is seeking to upgrade his Beijing bronze and improve his medal haul.
But he said the 100m butterfly, in which he came sixth, was never a key target.
"I don't focus too much on the butterfly, although you always want more," he said, after clocking 1:05.95, just outside his personal best, to finish well down on gold medallist Charles Rozoy.
"I'm feeling in really good shape and pretty confident. I probably got a bit carried away by the occasion and went out too fast because I started to die on the last length. The final 25m was very painful. You want to put it all on the line at this level, but I think I was a bit greedy."
Glasgow's Andrew Mullen claimed to be satisfied with his first action after reaching the final of the 50m freestyle, coming eighth in a race won by four-time Paralympic champion Daniel Dias.
Mullen's target for the Games is his signature 50m butterfly and he will also race in the 50m backstroke. "I didn't really expect to qualify," he said, after his 37.40sec personal best in the heats. "It was a great chance to be able to experience the atmosphere and get that experience ahead of my events later in the week. It was a warm-up for the 50m fly and the 50m backstroke. "
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