Where was the homeland of the "second wave of immigration?"
I assume that you are asking where the second wave of immigrants to the United States came from. If so, the best answer is to say that they came from Eastern and Southern Europe, with some coming from Central Europe as well.
The first wave of immigrants to the United States came mainly from Ireland and Germany. These people came beginning in the 1840s. They were influenced to leave their homelands by famine in Ireland and by political upheaval in Germany.
By the late 1800s, a second wave of immigration arose. This group of immigrants came from different countries. These immigrants were likely to come from Eastern European countries like Russia and Poland. Many of the immigrants from these countries were Jewish. The immigrants were also likely to come from Southern European countries like Italy and Greece. Others came from the Austro-Hungarian Empire in Central Europe. These were the homelands of the majority of the people who came in the second wave of immigration to the United States.