why in the coney-burrow?

" There was some aim at short and witty sketches of character in descriptions of the ingenuity of horse-coursers and coney-catchers who used quick wit for beguiling the unwary in those bright days of Elizabeth, when the very tailors and cooks worked fantasies in silk and velvet, sugar and paste.

At the back-side there is a coney-green; Stay there for me, and Mall and I will come to thee.

THERE'S ONLY ONE CONEY ISLAND, by George Green.

I did appoint my sister To meet me at the coney-borough below, And Francis too; but neither can I see.

Any coney, coney-skins?