Screen Yorkshire can offer funding to businesses and individuals.
http://screenyorkshire.co.uk/default.asp?id=7
The UK Film Council is, likewise, invaluable:
http://www.ukfilmcouncil.org.uk/funding/
I would also consider contacting Arts Council Yorkshire and enquiring about their funding opportunities.
http://www.artscouncil.org.uk/regions/funding_for_region.php?rid=9
Skillset is also an important resource and they have a section on funding.
http://www.skillset.org/funding/
Yorkshire Media Production Agency:
P. Studio of The North, The Workstation, 15 Paternoster Row, Sheffield, S1 2BX, UK.
T. 44 (0) 114 249 2204
F. 44 (0) 114 249 2293
E. admin.ympa@workstation.org.uk
The Yorkshire Media Production Agency supports media production in the Yorkshire area through the provision of loan funding to feature films, short films, cultural productions, television and satellite productions and projects utilising new media technologies.
The following site doesn't have any explicit information about funding but again, it's a good resource of which to keep track:
http://www.mandy.com/
The following sites offer general arts funding advice:
http://www.voluntaryarts.org/cgi-bin/website.cgi?tier1=england&tier2=yorkshire%20and%20humberside&fp=true
http://www.britisharts.co.uk/artsfunding.htm
Film Funding