It is typical for mixed marriages between the incumbent dominant group, and new groups to be predominately female-male. That is, there were more English female-German male marriages than English male-German female, and similarly for Americans and Italians, Whites and Blacks, Whites and Asians.
This sounds a bit odd. Who did the remaining WASP men marry? If WASP women married immigrants in higher numbers than WASP men, this would leave a rump of males from the dominant WASP group with no partners.
It definitely sounds like it's based on dubiously true stereotypes. Though not all the stereotypes are followed (i.e., while white woman-black man is a stereotype couple [mostly because it arouses racial resentment rather than because there's any truth, but it is a stereotype], Asian woman-white man is also much more of a stereotype than the converse).
I seriously doubt there's much difference in gender balance of couples. If anything, I'd expect it to go the other way. Immigrants are likely to be poorer than long-time residents. Especially in the past but also today, you're probably going to get more women able to "marry up" in wealth than men because men were/are expected to be breadwinners. There's also the "family scandal" angle--especially in the past, it would be far more scandalous for a local woman to bring home an immigrant boyfriend/husband than for a local man to bring home an immigrant girlfriend/wife. That kind of social pressure will also affect things.