"roof" radical (Kangxi radical 40), occurring in 家, 定, 安 etc, referred to as 寶蓋|宝盖[bao3 gai4]
宀
=
丶
+
冖
:
Mnemonic symbol: the strokes of this character look like a graduation cap (宀). Marilyn Monroe (mi-) wants to go to the anthill after her graduation from university. In the anthill's kitchen (an2), her friends snatch away her graduation cap (宀), and instead put a cooking top (冖) and a petal leaf (丶) on her head.
眠
=
民
+
目
:
The eye of providence (目) is going to sleep (眠) in the anthill's kitchen (an2). Marilyn Monroe (mi) tucks it into a copy of the declaration of independence (民).
generic term for cotton or kapok / cotton / padded or quilted with cotton
棉
=
帛
+
木
:
Marilyn Monroe (mi) found new silken panties (帛) for her under the Christmas tree (木) in the anthill's kitchen (an2)! The panties are nicely packed in a box full of cotton (棉).