It's time to recognize him for what he's doing on the course.
The slender Aussie with the heart-tugging tale of perseverance tends to get lost once he steps out among big hitters such as Tiger Woods, Vijay Singh and Phil Mickelson.
Still, Hensby keeps finding ways to contend in the biggest tournaments, a trend that continued Thursday when he opened the British Open with a 5-under 67.
Only Woods, one shot better, was ahead of Hensby on the scoreboard at St. Andrews. The only golfers other than Hensby with top-10 finishes in the first two majors of the year are Woods and Singh.
``No one expects me to win any tournament,'' Hensby said. ``I don't do anything spectacular. I don't hit the ball 330 yards like all the great players today. With me, it's just a matter of getting it around the golf course.''
He handles that task just fine, thank you.
With mastery around the green, Hensby played the final 10 holes of the Old Course at 5 under, starting with an eagle on No. 9. He actually had two good chances to pass Woods, but a 12-foot birdie putt at the 16th paused about an inch from the cup, and a similar attempt on the final hole stopped on the left edge.
``When Tiger is on, Vijay is on, any of the big hitters are on, I don't really have a chance,'' Hensby insisted.
With that in mind, he's realistic about his chances against Woods, who got off to a better start than he did five years ago on the way to an eight-stroke Open victory at St. Andrews.
``If he's playing well,'' Hensby said, ``we're all playing for second.''
No matter how much he poor-mouths his chances or downgrades his ability, the 34-year-old clearly feels that he doesn't get as much credit as he deserves.
Last week, he was a little perturbed about all the attention that went to Michelle Wie at the John Deere Classic, even though he was the defending champion.
When he came in for his pre-tournament interview, virtually the entire room cleared out because Wie has just completed her session with the media. Some of those who stayed were noisily breaking down cameras and other equipment while Hensby talked about his chances.
Wie failed to make the cut, while Hensby tied for fourth -- his third top-five finish of the year. The others came at the Masters (tied for fifth) and the U.S. Open (a fourth-place tie).
``I went out of my way to come here and, obviously, I've done a lot, and I feel like I really wasn't appreciated as well,'' Hensby said after last week's tournament.
His road to the tour is well known: Hensby moved from Australia to Chicago in the early 1990s, struggled to get his big break and wound up turning his car into a bedroom for a few weeks, parking it outside Cog Hill.
``That's an old story,'' he said when it came up again Thursday. ``It's kind of a funny story, really.''
Back to the golf. Hensby spent a total of six years on the Nationwide Tour, earning a one-year stint in the big leagues in 2001 and returning to the PGA Tour last year.
He had some staying power the second time around. Hensby won the John Deere, finished in the top 10 seven other times and finished 15th on the money list with $2.7 million.
His first victory, on the eve of last year's British Open, earned him a chance to play at Royal Troon. But he didn't have a passport, couldn't get a flight until the eve of the tournament and decided to stay home.
This year's John Deere winner, Sean O'Hair, qualified for the Open the very same way. Tournament officials managed to fast-track his passport application, and he arrived at St. Andrews on Wednesday morning.
``I don't know anyone in the White House,'' Hensby said, defending his decision not to play in 2004. ``I checked all the avenues to get here and give myself time to prepare for something like this. I didn't want to just come over here and show up.''
This year, with his passport renewed and plenty of time to make travel arrangements, Hensby has done more than just show up. He's a contender at one of golf's most hallowed courses.
Not that he takes the Open too seriously. His caddie, Mike Carrick, formerly looped for Tom Kite and had some helpful advice for his new client.
``He told me, 'If you treat the majors like any other event, you'll do better in them,''' Hensby said. ``He told me that Tom used to practice so hard for the majors. He should have won six or seven, but he always tried too hard.''
So far, Hensby's approach is working.
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