1) In an ecclesiastical context this might be a cloth hanging before the rood but it was more commonly a piece of linen worn across the forehead by women.
The earliest references are late in Elizabeth’s reign: 1592 ij railes and a croscloth, South Cave
1619 one apron, one croscloth and a band, Gisburn
1699 some linnen close [clothes], viz a apron, a band, a quoife, a pinner and a cross cloth … in a box, West Riding. The cloth known as Holland was much used for mens bands … gentlewomens handkerchers and crosse-cloathes, Elmswell.