You are assuming that the White peahen does not have any other color/pattern genes and is simply a White IB. This may not be true. Having two copies of the White gene will mask everything else. Being as so many people breed for Silver-Pied, and about 25% of offspring from Silver Pied X Silver Pied will be White, you may very well have a White peahen carrying genes for other things. If she arose from breeding Bronze Silver-Pied X Bronze Silver-Pied, then genetically she has two copies of White, two copies of Bronze, and two copies of White-Eyed. But having two copies of White will not make that apparent by looking at her.
The only ways to know would be to find out what her parents were, or through test-breeding. If you breed her to a Bronze male and get only IB split to White offspring, then you know she does not have the Bronze gene herself. But she may very well be another color "under the white." If you can't find out her parentage, then all you can do is rotate her through males of different colors to continue to eliminate what color(s) she DOESN'T carry. And if none of her offspring show any white eyes in the train, you can also eliminate White-Eyed from her genotype.
The only exceptions would be if you paired her to a male showing a sex-linked color. Regardless of what she has or doesn't have "under the white", her daughters will have their father's color, with the addition of some white feathers (thus being "split to White"). If her sons also show their father's color, then she, herself, must also be that color "under the white".
Thus the importance of keeping pedigree records....
