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我最近看到章振邦的新编英语语法教程学生用书里面有这么一个说法：当先词为复数名词或代词作主语并且带有each作为同位语时，如果each出现在动词之后，随后的人称代词或相应的限定词用单数。

后面给了这么几个相关的例句：

1. They had each his own problem.

2. I gave the girls each a toy she likes best.

下面是我在COCA(美国当代英语语料库，基本只收录权威网站，期刊或者文学作品中的文字）和webcorp（伯明翰城市大学开发的语料库，用于搜集互联网上的句子，这里我是基于Bing搜索的）中的搜索结果：

COCA:
”they have each his”— no results
”they have each their”— no results
”they had each his”—no results
”they had each their”—no results

webcorp:
”they had each his”— 1 result (They had each his proper name)
”they had each their” —no results
“they have each his” — no results
”they have each their” — several results (e.g. They have each their advantages)

下面是我在Wordreference中就相关句子得到的母语者的回答：

1. All your sentences are incorrect because they are not using proper syntax. All your sentences must appear thusly: "They each have/had...  ..."not "They have/had each...." (Reno33, 美国）

2. I agree with Reno. It's a simple grammar point that 'they' and 'his' don't match. There is, of course, singular 'they' but the rest of the sentence should match pronouns. （bennymix, 安大略湖一带）
   

这样看来They had each his own problem.这个句子并能说是对的，那么章老这里下这样的结论依据何在呢？