Well your area must be different to mine, in south yorks, if you apply for a fac for vermin/deer on private land, and do not provide evidence of written permission, you will not be granted the certificate, simple as that.
Down here mate you give name of land owner and address on the application form they then contact them to confirm or at least that's all they have ever done with mine could be different for keepers though since it's usually there place of work that gives permission