Question: When was the player who scored the only goal in the final game of  the 2009–10 Scottish League Cup born?

Context articles: 2010 Scottish League Cup Final
1959 Scottish League Cup Final
1967 Scottish League Cup Final
2011 Scottish League Cup Final
1955 Scottish League Cup Final
2006 Scottish League Cup Final
2009 Scottish League Cup Final
2009–10 Scottish League Cup
Kenny Miller
1985 Scottish League Cup Final

The 2010 Scottish League Cup Final was the final match of the 2009–10 Scottish League Cup, the 63rd season of the Scottish League Cup.
The 1959 Scottish League Cup Final was played on 24 October 1959 at Hampden Park in Glasgow and it was the final of the 14th Scottish League Cup competition.
 The final was contested by Hearts, who had won the previous year's final, and Third Lanark.
 Third Lanark had led 1–0 at half time thanks to an early goal by Joe McInnes, but Hearts turned things around and won 2–1 to retain the cup thanks to second half goals by Johnny Hamilton and Alex Young.
 Hearts later completed a League and League Cup double – the only non Old Firm side to achieve such a double.
The 1967 Scottish League Cup Final was played on 28 October 1967 at Hampden Park in Glasgow and was the final of the 22nd Scottish League Cup competition.
 The final was contested by Dundee and Celtic, with Dundee becoming the first side from outside the Old Firm to reach a League Cup Final since the 1963 Final.
 Celtic won a high-scoring match by 5–3, with Stevie Chalmers, John Hughes, Bobby Lennox and Willie Wallace all scoring for Celtic.
 George McLean and Jim McLean scored Dundee's goals.
The 2011 Scottish League Cup Final was the final match of the 2010–11 Scottish League Cup, the 64th season of the Scottish League Cup.
 It was played by Old Firm rivals Celtic and Rangers.
 Rangers won the trophy after extra time 2–1.
The 1955 Scottish League Cup Final was played on 22 October 1955, at Hampden Park in Glasgow and was the final of the 10th Scottish League Cup competition.
 The final was contested by Aberdeen and St Mirren.
 Aberdeen won the match 2–1, thanks to a goal by Graham Leggat and an own goal by Jim Mallan.
 The winning goal, scored 11 minutes from the end, was a "wind-assisted cross".
 Aberdeen manager Davie Shaw later admitted that they had been "damn lucky" to win the Cup.
 The match proved to be St Mirren's last appearance in a Scottish League Cup Final until 2010.
The 2006 Scottish League Cup Final was a football match played on 19 March 2006 at Hampden Park in Glasgow.
 It was the final match of the 2005–06 Scottish League Cup and the 59th Scottish League Cup Final.
 The final was contested by Dunfermline Athletic and Celtic.
 Celtic won the match 3–0, thanks to goals from Maciej Zurawski, Shaun Maloney and Dion Dublin.
The 2009 Scottish League Cup Final was the final match of the 2008–09 Scottish League Cup, the 62nd season of the Scottish League Cup.
 The match was played at Hampden Park, Glasgow on 15 March 2009, and was won by Celtic, who beat Old Firm rivals and Cup holders, Rangers, 2-0 after extra time.
The 2009–10 Scottish League Cup was the 64th season of the Scotland's second most prestigious football knockout competition, also known for sponsorship reasons as the Co-operative Insurance Cup.
 Rangers won the cup beating St Mirren 1–0 thanks to a goal from Kenny Miller.
Kenneth Miller (born 23 December 1979) is a Scottish professional footballer who plays as a striker for Scottish Premiership club Rangers.
 Miller is one of only five post-war players to have played for both Rangers and Celtic, and is only the second player to cross the divide twice, alongside Tom Dunbar.
 He is known as a versatile and pacy striker who is skilled with headers and can play as a supporting or centre-forward.
The 1985 Scottish League Cup Final was played on 27 October 1985, at Hampden Park in Glasgow and was the final of the 40th Scottish League Cup competition.
 The final was contested by Aberdeen and Hibernian.
 Aberdeen won the match 3–0 thanks to goals by Eric Black (2) and Billy Stark, giving Alex Ferguson his only Scottish League Cup trophy win.