A woman may wear anything that she wishes to wear at home as long as she is safe from being seen by nonmahram men. There is nothing wrong with a woman wearing any kind of clothes that the women of her country of society usually wear at home as long as she is not exposed to the nonmahram men. To appear before any non-mahram man in any circumstance a woman must observe a complete hijab even at home.
Allah, may He be exalted, says (interpretation of the meaning):
“O Prophet! Tell your wives and your daughters and the women of the believers to draw their cloaks (veils) all over their bodies (i.e., screen themselves completely except the eyes or one eye to see the way). That will be better, that they should be known (as free respectable women) so as not to be annoyed. And Allah is Ever Oft-Forgiving, Most Merciful”
“…and not to reveal their adornment except to their husbands, their fathers, their husband's fathers, their sons, their husband's sons, their brothers or their brother's sons, or their sister's sons, or their (Muslim) women (i.e. their sisters in Islam)…”
For a woman, it is permissible to show her adornments in front of her husband and her mahrams. Therefore it is more appropriate that this be permissible when the woman is on her own.
Based on this there is nothing wrong with a woman uncovering her head or wearing a different clothing while working or being busy with household work only is she is alone and is safe from non-mahram men being able to see her.
But she must observe full shar‘i hijab when she is in the presence of non-mahram men, whether that is inside the house or outside.
And Allah knows best.