must be vice versa: 我叫海山，海边的海，爬山的山。 我叫雪儿.，下雪的雪，女儿的儿。

我的名字叫雪儿，雪花的雪，儿童的儿。

It should be 我叫海山，海边的海，爬山的山。If your name is xue'er, it can be said 我叫雪儿，白雪的雪，儿，儿时的儿。In the meanwhile, I wish to make friends with you, can I also want to practice my oral English, though my written English is good.

雪儿represents purity and as chaste as Holy Maria.

我叫雪儿，冰雪的雪，儿童的儿。But usually, 雪儿's characters are pretty simple, so people would know immediately even without elaboration. :)