Ah but, the law demands that LBH make an electronic form of petition available. Their response to this, scan the bits of paper and email them to us, may accord with the letter but not with the spirit, I think. cf http://petitions.number10.gov.uk/
I try not to be pessimistic but a la http://www.harringayonline.com/forum/topics/government-response-to I am expecting "haringey response to petitions disappointing"