who was she married to?
Lord Darnley
Mary, Queen of Scots
Mary had briefly met her English-born half-cousin Henry Stuart, Lord Darnley, in February 1561 when she was in mourning for Francis. 
why did mary queen of scots have claim to english throne Mary, the only surviving legitimate child of King James V of Scotland, was six days old when her father died and she acceded to the throne. did she live any place else? She was sent to France.
wiki:25642602
Mary, Queen of Scots [SEP] Marriage to Lord Darnley
Mary had briefly met her English-born half-cousin Henry Stuart, Lord Darnley, in February 1561 when she was in mourning for Francis. Darnley's parents, the Earl and Countess of Lennox, were Scottish aristocrats as well as English landowners. They sent him to France ostensibly to extend their condolences, while hoping for a potential match between their son and Mary. Both Mary and Darnley were grandchildren of Margaret Tudor, sister of Henry VIII of England, and patrilineal descendants of the High Stewards of Scotland. Darnley shared a more recent Stewart lineage with the Hamilton family as a descendant of Mary Stewart, Countess of Arran, a daughter of James II of Scotland.