The species was first described by Edward Meyrick in 1913 from two specimens collected by Frederick Giles Gibbs and named Aletia fibriata.

[3] The male lectotype specimen is held at the Natural History Museum, London.

[4] George Hudson, in The Moths and Butterflies of New Zealand, used the species name Alentia fibrata when discussing the species,[5] however more recent publications use the original name of Alentia fibriata.

[3] Hudson described the species as follows: The fore-wings are pale grey speckled with darker grey, with blackish markings; there is an interrupted dentate basal line; the first line and stigmata are faintly indicated; the second line is very fine, strongly dentate, inwards-curved near the dorsum with the tips of the dentations marked by whitish-edged black points; there is a series blackish terminal dots; the cilia are grey, faintly barred with darker grey.

[2] I. fibriata is rarely collected but has been found on the eastern side of the South Island.

[7] Specimens have also been collected at Mount Richmond, near Nelson, at Hanmer Springs and there has been one recorded occurrence in the Otago Lakes area.