Richard Thomas at the University of Leicester has written several articles 
that discuss the British evidence for pets. Some are available on 
Academia.edu

Examples include:

Thomas R. 2005. Perceptions versus reality: changing attitudes towards pets 
in medieval and post-medieval England, pp. 95-105, in Plukowski A. (ed.), 
Just Skin and Bones? New Perspectives on Human-Animal Relations in the 
Historic Past. BAR International Series 1410. Archaeopress, Oxford.

Thomas, R. 2009. Bones of contention: why later post-medieval assemblages 
of animal bones matter, pp. 133-148, in Horning, A. and Palmer, M. (eds) 
Crossing Paths or Sharing Tracks: Future Directions in the Archaeological 
Study of Post-1550 Britain and Ireland. Boydell and Brewer Ltd., 
Woodbridge.

Thomas, R. 2010. Translocated testudinidae: the earliest archaeological 
evidence for tortoises in Britain. Post-Medieval Archaeology 44/1: 165-171.


> Hi there, I was wondering if anyone can provide me with some references 
> to published material (rather than grey literature I can't get access to) 
> regarding pet burials, particularly on 19th century farmstead sites? 
> There doesn't seem to have been much written on this.