Can I find old court records from 1976/7 easily, and for free?

Hi. I was the object of a custody battle when I was 4–5 years old, back in the 1970’s. I remember it, but only in a child’s-view way. Both sides of the battle tell different stories about how things went down, and I’d like nothing more than to locate the actual court records and read, word for word, the things that were said, the evidence, etc. I’ve had this quest in the back of my mind for years.

Unfortunately, I don’t even know where to begin. I’ve looked at the website for the courts in the county where the case occurred, but it seems centered on current cases – not old dusty ones. It happened long before electronic recordkeeping, I’m sure. And furthermore, I’m not rich – so cost is a factor. Is there a free site or search that would turn up such a relic, or do you know anything about where else to start looking?

Common sense dictates that I don’t put too much personal detail about this case out here in front of Internet and everybody, but I am possibly willing to discuss specifics over private messages if anyone feels they can help in detail (and, you know, I recognize you). However, any help is welcome (and is more help than I have now). Thanks for reading.