Question: Who has won more grand slam double titles, Andrea Hlaváčková or Tony Roche?

Context paragraphs:
2017 Aegon Open Nottingham – Women's Doubles: Andrea Hlaváčková and Peng Shuai were the defending champions, but Peng chose not to participate and Hlaváčková chose to compete in s'Hertogenbosch instead.

Williams sisters: The Williams sisters are two professional American tennis players: Venus Williams (b. 1980), a seven-time Grand Slam title winner (singles), and Serena Williams (b. 1981), twenty-three-time Grand Slam title winner (singles), both of whom were coached from an early age by their parents Richard Williams and Oracene Price.  There is a noted professional rivalry between them – between the 2001 US Open and the 2017 Australian Open tournaments, they met in nine Grand Slam singles finals.  They became the first two players, female or male, to play in 4 consecutive grand slam singles finals from the 2002 French Open to the 2003 Australian Open; Serena famously won all 4 to complete the first of two "Serena Slams".  Between 2000 and 2016, a 17-year span, they collectively won 12 Wimbledon singles titles (Venus won 5 and Serena won 7).  By winning the 2001 Australian Open women's doubles title, they became the 5th pair to complete the Career Doubles Grand Slam and the only pair to complete the Career Doubles Golden Slam.  At the time, Venus and Serena were only 20 and 19 years old, respectively.  Since then they have gone on to add another two Olympic gold medals in the 2008 Beijing Olympics and the 2012 London Olympics.  Nearly a decade later, the duo would go on to win 4 consecutive grand slam doubles titles from 2009 Wimbledon through 2010 Roland Garros, which would catapult them to co-No.  1 doubles players on 7 June 2010.  Two weeks later, on 21 June 2010, Serena would hold the No. 1 singles ranking and Venus would be right behind her at No. 2 in singles.  Their most recent grand slam doubles titles came at the 2012 Wimbledon & 2016 Wimbledon events.  They remain very close, often watching each other's matches in support, even after one of them has been knocked out of a tournament.

2010 Gastein Ladies – Doubles: Andrea Hlaváčková and Lucie Hradecká were the defending champions, but Hlaváčková chose not to participate.

Andrea Hlaváčková: Andrea Hlaváčková (] ; born 10 August 1986) is a professional tennis player from the Czech Republic.  Her highest singles ranking is world No. 58, which she reached in September 2012, and her highest doubles ranking is No. 3, reached on 22 October 2012.  In her career, Hlaváčková has won 22 WTA doubles titles, as well as 19 ITF doubles and eight ITF singles titles.  She has won two Grand Slam doubles titles, the 2011 French Open and the 2013 US Open, both times partnered with Lucie Hradecká.  The pair are also the 2012 Olympic silver medallists.  Hlaváčková was part of the winning Czech team in Fed Cup 2012 and also won the mixed doubles title at the 2013 US Open paired with Max Mirnyi.

Lucie Hradecká: Lucie Hradecká (] ; born 21 May 1985 in Prague) is a professional tennis player from the Czech Republic.  In her career, Hradecká has won 19 WTA doubles titles, and two Grand Slam titles, the 2011 French Open and the 2013 US Open, partnered both times by fellow Czech Andrea Hlaváčková.  The pair are also the 2012 Olympic silver medallists in doubles.  She has also won a mixed doubles Grand Slam title, the 2013 French Open with František Čermák.  Her biggest singles career highlight to date was defeating former world number one Ana Ivanovic in the first round of the 2015 Australian Open.

Ken Rosewall: Kenneth Robert Rosewall {'1': ", '2': ", '3': 'AM, MBE', '4': "} (born 2 November 1934) is a former world top-ranking amateur and professional tennis player from Australia.  He won a record 23 tennis Majors including 8 Grand Slam singles titles and before the Open Era a record 15 Pro Slam titles and a record 35 Major finals overall.  He won the Pro Grand Slam in 1963.  Rosewall won 9 slams in doubles with a career double grand slam.  He is considered to be one of the greatest tennis players of all time.  He had a renowned backhand and enjoyed a long career at the highest levels from the early 1950s to the early 1970s.  Rosewall was one of the two best male players for about nine years and was the World No. 1 player for a number of years in the early 1960s.  He was ranked among the top 20 players, amateur or professional, every year from 1952 through 1977.  Rosewall is the only player to have simultaneously held Pro Grand Slam titles on three different surfaces (1962–1963).  At the 1971 Australian Open he became the first male player during the open era to win a Grand Slam tournament without dropping a set.

1976 Marlboro NSW Open: The 1976 New South Wales Open, also known by its sponsored name Marlboro New South Wales Open, was a combined men's and women's tennis tournament played on outdoor grass courts at the White City Stadium in Sydney, Australia.  The men's was part of the 1977 Colgate-Palmolive Grand Prix circuit.  It was the 84th edition of the event and was held from 26 December 1976 through 1 January 1977.  The singles titles were won by Kerry Reid and 33-year-old Tony Roche.  It was Roche's fourth singles title after 1967, 1969 and 1974.  Roche won AUS$13,500 first-prize money while Reid's title was rewarded with AUS$5,000 prize money.

2017 J&amp;T Banka Prague Open – Doubles: Margarita Gasparyan and Andrea Hlaváčková were the defending champions, but Gasparyan chose not to participate this year and Hlaváčková chose to compete in Rabat instead.

Tony Roche: Anthony Dalton Roche, AO MBE (born 17 May 1945) is a former professional Australian tennis player, native of Tarcutta.  He played junior tennis in the New South Wales regional city of Wagga Wagga.  He won one Grand Slam singles title and thirteen Grand Slam doubles titles, and was ranked as high as World No. 2 by Lance Tingay of "The Daily Telegraph" in 1969.  He also coached multi-Grand Slam winning World No. 1s, Ivan Lendl, Patrick Rafter, Roger Federer, Lleyton Hewitt and former World No. 4, Jelena Dokic.

István Gulyás: István Gulyás (Hungarian: "Gulyás István" ; 13 October 1931 – 31 July 2000) was the second Hungarian tennis player to become a Grand Slam finalist.  He was defeated in the 1966 French Open Men's final by Tony Roche of Australia in three sets, after allowing the match to be delayed 24 hours to allow Roche to recover from an ankle injury.  It was Gulyas' lone Grand Slam final, though he made the semi-finals of the tournament the following year (and the quarter-finals in 1971).  He was ranked inside the world's Top 10 on more than one occasion and holds the record for most Hungarian National Championship titles having won it 15 times in his career.  Lance Tingay of The Daily Telegraph ranked Gulyás as World No. 8 in 1966.

Supporting paragraphs: Andrea Hlaváčková Tony Roche
Answer: Anthony Dalton Roche