If approved, his estate will have exclusive rights to use or license the catchphrases for a fee.
Halifax's Victoria Theatre opened in February 1901 and a new display showcases its history.
The charity set up in Sir Ken Dodd's name said it had no choice but to withdraw support.
A new film includes extracts from notebooks he wanted burned after his death.
Sir Ken Dodd's widow says he often tested material at his New Year's Day performances in Fleetwood.
The new centre will give the comedy legend's archive a permanent home in his home city of Liverpool.
Sir Ken Dodd performed at the City Varieties for decades from the 1950s until the 1980s.
Sir Ken Dodd's foundation will help to fund a learning space at Blackpool's new Showtown museum.
The late comedian told her to burn hundreds of private books he filled with jokes and observations.
