And Baroness Flather, who on Thursday gave up the Conservative whip to sit on the cross-benches
, said Mr Hague should have found "other ways of dealing" with Lord Cranborne.
He also accepted a peerage but sat on the cross-benches
rather than with Labour.
Plaid does not have enough members in the Lords to form an official group so Mr Wigley will take his place alongside Lord Elis-Thomas on the cross-benches
The moves came after a day which saw four front bench resignations from the Conservative ranks in the Lords, and another Tory peer resigning the party whip to sit on the cross-benches
Lord Rowe-Beddoe, pictured in front of the WMC, who sits on the cross-benches
in the House of Lords, said of the financial backing: "That has done more to make people realise they have to perform and step up to the mark.
Speaking from the cross-benches
and flanked by his cousin the Duke of Kent and Lord Snowdon, the Prince included several humorous passages in his contribution.