ˌcounterˈlathv. to furnish with counterlaths, or counterlathing.
ΚΠ
1726 R. NeveCity & Country Purchaser (ed. 2) at Tyle For Ripping and Heeling again..our Sussex Bricklayers reckon 3s. 6d. per Square, and if they Counter-lath it then 3s. 9d. or 4s.
1840 A. BartholomewSpecif. §1348 To counter-lath all such parts of the work as may so require.