Patrish,
If you're wanting parodies, look no further than Les Barker, he's written many and quite a number are of women's songs from the English tradtion, so there's plenty of scope.
eg The Trains of Waterloo
or, My husband's got no porrige in him (You should hear Norma Waterson sing this one.)
As has been repeated above, look for songs you like, sincerity comes across when you sing. For example I really find it hard to sing The World Turned Upside Down by Leon Rosselson, a song which brings me tears of bitter anger simply on hearing it, but I always feel good when I've sung it.
AndyG