Dog carcass in alley this morning, tire tread on burst stomach.

此句，一看就知道是“新闻标题”。

文章标题的特点是：醒目和简练。本句为了简练和对仗，缺少一个连词，两个动词，四个冠词。补充完整应为：

A dog carcass was lying in the alley this morning, and a tire tread was left on the burst stomach.

改为there be 存在句也可。改为存在句后，There was 之后是两个并列主语，缺少的4个冠词仍要补足。例如：

There was a dog carcass in the alley this morning and a tire tread on the burst stomach.

句子内容过于血腥，我就不翻译了。