The use of 地 after multiple, related nouns (e.g. “鸡”，“猫”，“狗”地) In the following sentence:


  秀春决定自己教他。丈夫好像明白了秀春的意思，跟着她“鸡”，“猫”，“狗”地念起来。


It seems that in this sentence, the meaning is something like the following, and it uses 地 coupled with animal nouns.


  Xiuchen decided to teach him by herself. Her husbund looks like understanding her intention, reading aloud "chicken", "cat", "dog" with her.


It seems that 地 modifies nouns here. Is this usage of 地 common in Chinese?  At what situation is it used as such? And should you always need ", " to modify nouns in these cases?
跟着她“鸡”，“猫”，“狗”地念起来。


“鸡”，“猫”，“狗”地 here works as an adverbial phrase modifying the verb 念. 

“鸡”，“猫”，“狗” are basic noun words learnt by a beginner. Imagine the scene her 丈夫 following her reading these basic childish words, and you would get the idea of “鸡”，“猫”，“狗”地. 

Another point is that they don't put 鸡，猫，狗地， but “鸡”，“猫”，“狗”地, because the quotation marks indicate those words are said by someone. For example, 他说： “我今天会来。” The quotation mark is used to quote what one has said.