What are dreams do the characters in the novel hope to ascertain
The Characters have come from the C/bean with literally the clothes on their back.
Their greatest aspiration is to own a home, a brownstone. This would indicate that they have 'arrived' as they say in Barbados, they have wealth.
One of the driving forces in West Indians is to own property and a mother will encourage a woman or man to acquire a home on going to work.
Note the pride of those who have already purchased a home and are looking to acquire another.
Selina's desire seems at odds with her mother's in her desire to dance etc instead of following the path of most West Indians of going to college, getting a job and buying a brownstone or a house on Statin Island.