She said the selection of a Labour candidate to replace Barry Jones would be "transparent and open".
"Our position is that the traditional definition of marriage shouldn't be altered between a man and a woman, " Catholic Bishop Barry Jones said.
But chairman of the trust Barry Jones said this was unlikely.
Barry Jones, a lecturer in politics at the University of Wales in Cardiff, reckons that this, combined with Mr Blair's centrist policies, tells a lot of Welsh voters that the Labour Party they voted for does not exist any more.
It has emerged that Ms Jones had been with her ex-partner since they were teenagers and it was not until many years later that she left her family home and moved in with her brother Barry Jones, his wife Liz and their three children.
BBC: NEWS | UK | Wales | North East Wales | Get help now, abuse victims urged
Dr. Billy Taylor, Hank Jones and Barry Harris spin their original solo takes on the holiday songbook.
Marion Jones, Barry Bonds and Mark McGwire come closest to mirroring the cheating that went on in their respective sports.
Paul James, Adam Jones, Duncan Jones, Jonathan Thomas, Barry Williams and Shaun Connor are also in the 100 club.
Ask Reggie Bush, Barry Bonds, Alex Rodriguez, and Marion Jones.
FORBES: Cam-ouflaging Reality: Newton's Story Parallels Bush, Bonds, Rodriguez, Jones
The Scarlets have included Welsh squad members Dafydd Jones, Alix Popham, Matt Rees, Dafydd James and Barry Davies, leaving them unlikely to face England.
Gabriel Agbolahor collected Barry's ball over the top but shot straight at the feet of Brad Jones when one-on-one with the Australian goalkeeper.
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