cambric is an even woven cloth, that has weft thread dyed (usually indigo, but any color will do) and warp threads of white.
It is still commonly used for men's shirts. the crossed colored and white fabrics create a pastel, like shade. since the thread are 'dyed in the wool' they are color is stronger, and less likely to fade..

cambric tea is sweet( and that is a characteristic,) but it is also tea that is half (or more) milk.. i don't know if the cloth takes the name from the tea, or tea from the cloth(half white milk, half dark tea.?)