Starting on the 10th in Australia, Hanson fired a birdie and two pars to get under way solidly, but he then followed with two successive bogeys
before another birdie to be level after six.
His compatriot Darren Clarke fired a four-over 76, which included two double bogeys
, three bogeys
and three birdies, to finish nine over.
Unfortunately further bogeys
on 15 and 18 undid some of that good work as Donaldson completed his round on one over, five adrift of clubhouse leader Bill Haas on four under.
Meanwhile, early leader Marc Warren slipped down the leader-board as his good display on the back nine was let down by three bogeys
coming home but he picked up to par his remaining holes to finish one under par.
47 birdies, 184 pars, 47 bogeys
, 5 double bogeys
, 1 worse.
Though he gave one back with a bogey
on 11, a birdie from 12 feet on the 12th made it all square again.
Pontypridd's Phil Price shot a four-under-par 68 to finish the day in a tie in 20th place on 10 under, along with Barry's Stephen Dodd who had five birdies and two bogeys
in his round of 69.
Course graphics by DAVID PENZER 1st Tea Olive 445 yards Par 4 2010 - Eagles 0, Birdies 25 Bogeys
67, Double bogeys
7 Triple bogeys
or worse 1 2010 stroke average 4.
Both McDowell and De Jonge had started their rounds at the 10th tee with the Zimbabwean at four under after six holes before recording three bogeys
in the next four holes to find himself at one under having played 11.
But he slumped with bogeys
at eight, nine and 11 before running up a double bogey
at the par five 13th.
The 18th is proving a tricky hole in the wind with eight bogeys
, a double bogey
and two triple bogeys
and just three pars from the first 14 golfers through.
He started with a par but back-to-back bogeys
dropped him into a share of the lead with John Daly, who had yet to tee off.
He started his round with a birdie at 10 but followed it up with consecutive bogeys
to drop to even-par.
The perils of Augusta were there for all to see as bogeys
, double bogeys
and even a triple bogey
littered the start of the Masters.
Tom Whitehouse, from Warwickshire, is the best-placed of the Midlands' contingent after a frustrating second-round 72 including three bogeys
and two birdies left him one-under.