Woosnam's best finish at the event came at the inaugural Wales Open in 2000.
He is now targeting next week's Wales Open at the earliest, or failing that the US Open on 15-18 June.
"The Welsh boys obviously want to do well here, " said Dredge, trying to explain why the wait for a Wales Open winner goes on.
Robert Karlsson and Paul Broadhurst, who finished first and second in the Wales Open at the weekend, could not maintain their form.
BBC: McDowell missed out on the US Masters earlier this year
Ian Woosnam has added his name to the entry list for this year's Wales Open at the Celtic Manor Resort, near Newport (August 8-11).
And Wood, who will line up at the Wales Open on Thursday, now feels he belongs in the professional ranks after a difficult start.
Welsh number one and Wales Open runner-up Davies, the new world number 45 after successive top-two finishes, had already qualified for his second Open Championship.
The qualifying competition for the US Open starts next Monday, but Montgomerie currently going through a divorce, has opted to play at the Wales Open and the Diageo Championship instead.
The South Korea-born Ko has two other pro victories, the New South Wales Open last year and New Zealand Women's Open this year, and won the U.S. Women's Amateur last season.
The 31-year-old's confidence heading into his second appearance comes not only from his maiden major victory at Pebble Beach, but also his Wales Open win at Ryder Cup venue Celtic Manor two weeks previously.
Wales open their 2011 Six Nations campaign at home to England on Friday, 4 February, which is followed by trips to Scotland and Italy, before Ireland visit Cardiff ahead of the final game away to France on 19 March.
It's no good playing Celtic Manor (venue for the Wales Open) and the Dutch Open, both great courses, and then going over to a US Open, because they are completely different from what you're going to get in America.
The 30-year-old McDowell is full of confidence after winning the Wales Open earlier this month and fired six birdies to reach four under before his third bogey on his final hole trimmed his lead to two going into the weekend.
BBC: US Open: Graeme McDowell leads as Phil Mickelson surges
Wales' Rhys Davies, who won his maiden European Tour event in Morocco in March and had consecutive runner-up finishes at the Madrid Masters and Celtic Manor Wales Open, improved on his opening 78 with a one-under 70 to go into the weekend at six over.
The First Minister will spread "the message that Wales is open for business" say his own side.
Cadw and Civic Trust Wales' Open Doors initiative includes opening all Cadw sites for free on 12 September.
Wales will open their campaign against world sevens champions Australia at Surrey Sports Park on Friday, 20 August (1400 BST).
Although the A55 in north Wales remains open, police have warned motorists to drive with "extreme care" because of "blizzard conditions".
Another bill would increase supervision and drug testing of offenders after release from jails in England and Wales and open up the Probation Service to private competition in an effort to cut reoffending rates.
All major trunk roads in Wales are now open for the Easter holiday weekend after frozen snow was cleared.
Sowden-Taylor had only been on the field at the Liberty Stadium a matter of minutes, replacing Wales and Lions open-side Martyn Williams.
BBC: Sowden-Taylor grimaces as his ankle is caught beneath him
Officers from across England and Wales attended an open meeting in London to protest at a 20% reduction in the policing budget and a pay freeze.
That while she was willing to work with the Welsh government to see if any of the seven sites in Wales could stay open after all, there was not a penny more to be had from the UK government.
Another site in north Wales is due to open, along with one at Llanidloes, Powys.
Lynne Hayes, from the National Playing Fields Association and founder of Save Open Spaces Wales, complained that playing fields were not protected in Wales.
BBC: Public meeting sign with Ponciau school in the background
Historic buildings across Wales, some not usually open to the public, are throwing open their doors this weekend.
Stephen Doughty, MP for Cardiff South and Penarth, told Sunday Politics Wales he had an "open mind" about the barrage.
Conservative leader Andrew RT Davies called for an open discussion in Wales on the media regulation and reform as he challenged the first minister's "attempts to muzzle the press".
Pubs in England and Wales will be able to stay open longer for the royal wedding, the Home Office has confirmed.
"Fewer than half of the local authorities in Wales actually provide any kind of open access play provision in the summer, " he said.
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