I can't quote specifics, but in the past I have read of studies that seem to show that males and females both tend to partner with people of the same socio-economic class/position. Who knows...
All I know is, I know enough women who have made it on their own financially that it's not accurate to say all women look for wealthy men to partner with.
OTOH, I know women who married right off and started having kids, and would find it very difficult, because of the path they took as young adults, to achieve the lifestyle they have as a married women w/ kids, on their own.