Recording their sixth consecutive win Easthouses kept themselves in the promotion race to the cost of Peebles Rovers.
Goals from Graeme Young, Scott Borthwick and John Hunter put Lily three up by half way.
Peebles rallied in the second half but two further goals from Young sealed the deal.
Peebles Rovers: Gordon, Adamson, Hunter, J. Manson, Ford, Noble, Muir, Edgar, Cairns, Nwadze, G. Manson. Subs: Linton, Brodie, McKenzie.