Looking on Lancs OPC, I see a couple of baptisms for children of Edward and Margaret COLLINGE has his abode as "Haslehead" (James 1769) and "Hazlehead" (Alice 1771). And Edmund and Margaret COLLINGE (Edmund 1774) has abode "Hazzlehead". And quite a few similar entries for the children of Edmund and Peggy COLLINGE.
So I think Hazel Head is most likely correct.