Yes, I guess you could put it that way. The clauses are not linked in any way, and yet I believe this sentence is correct. Am I right?Hello Carefree.
The problem is that you didn't include a specific question in the post itself, so it looks as though you want us to look over the sentence for errors. We require a specific question. From your title, I believe your question is whether "The father being late" is an absolute phrase used correctly. Is that your question?