Queen Victoria's second daughter to be exact who was the grand-mother of Philip's mother.
Queen Victoria - Alice - Victoria - Alice - Philip - Charles - William - Baby C.
Both Alices have a wonderful legacy, one that would add to the name.
Alice of Hesse (not only grandmother to Philip's mum but also mother of the last Czarina of Russia) was mourned both in GB and Hesse when she died. Alice was a friend of Florence Nightengale,and used this friendship during the Prussian war, to help raise funds for the hospitals. She was known for her care for the wounded and sick. She was not popular at first as Grand Duchess, and was often over whelmed, but became well loved and respected for her social reforms. She also created the Alice hospital, as well as programs to educate women and train nurses. Her mother was angered that she chose to breast feed, but her interest in gynecology, and her influence in the hospital, led to changes in women's health.
And of course Philip's mother. She holds the incredible distinction and honor of being named a Righteous among Nations. This was an honor granted Non-Jewish people, who risked their lives and or liberty to save Jews during the holocaust. Alice remained in Greece with Princess Nicholas (mother of Marina, Duchess of Kent), in her brother in law George's house. She helped the red cross, and soup kitchens, and would go out after curfew to feed people, at the risk of being shot. She housed Rachel Cohen and two children, Jews who had been in Greece for safety, when the Germans took Athens. Rachel's husband had aided George I of Greece, and the king had promised the man aid in the future. Alice honored this, and doing so, saved the lives of the three Cohens.
Wonderful way to honor Philip, naming a baby for his mother and great-grandmother. But also an incredible legacy of a name.
There are others too:
-Princess Alice, Countess of Althone: granddaughter of Queen Vic by her son Leopold. Sister in law of Queen Mary (married to her brother Alex)
-Princess Alice, Duchess of Gloucester: mother of the current Duke,