Former Reds defender Darby retired from football in September 2018 after being diagnosed with motor neurone disease.
The 30-year-old then set up a foundation to help those who live with the disease.
After coming through the ranks at the Kirkby Academy and winning two FA Youth Cups, Darby made six first-team appearances for Liverpool before departing in 2012 to spend the majority of his senior career at Bradford City.
Neil Critchley and Barry Lewtas will lead a climb up Wales' tallest mountain on May 24 as they hope to generate funds for Darby's cause.
U18s boss Lewtas said: "A lot of the images and some of the things that we showed the boys in the FA Youth Cup run dated back to when Stephen played.