Yesn’t. Actually no.
The singular was thou for subject and thee for object and the plural was ye/you. In formal speech the plural was used and the subject pronoun was replaced by the object but I can’t tell you in which order.
The þ-thing didn’t effect the pronoun but some surnames and the article. I think some pubs have names like “ye old”. They used to be “þe(=the) old” and have nothing to do with þe old pronoun, even tho it is written the same.
Don’t blame native speakers that your textbook is outdated