Brother (the narrator) says that naming Doodle "William Armstrong" is like "tying a big tail on a small kite." A small kite will not be able to support a large tail. Likewise, Brother doesn't think that Doodle can support or live up to a "strong" name like Armstrong. So, Brother gives him the name "Doodle" because he looks like a bug when he crawls backwards. The narrator is quite clear that he had always wanted a brother who could compete and play with him on the same physical level. He is very disappointed with Doodle because of Doodle's physical limitations. Brother says that William Armstrong is a name that only sounds good on a tombstone. This is some clear foreshadowing. 

The color red (and/or scarlet) of the ibis foreshadows the blood when Doodle dies. Doodle, the ibis, and the color red are all linked: 

He had been bleeding from the mouth, and his neck and the front of his shirt were stained a brilliant red. 

The storm is comparable to Brother and the ibis is comparable to Doodle. The storm blows the ibis off course and this leads to its death. Brother pushes Doodle too far, just as the storm pushed the ibis too far. 

In Egyptian mythology, the ibis represents wisdom and knowledge. Doodle had the wisdom that he only needs to be accepted for who he is, rather than for what Brother wanted him to be. Brother lacks or refuses to acknowledge this wisdom. Brother ignores this wisdom just as he ignored Doodle's pleas not to leave him.