"STILL unnamed" LOL!
The fact that a family tree is 30-40 years old doesn't make it any more accurate than one compiled recently. What's important in each case is the evidence/sources that were used to compile the facts presented in the compilation.
There are examples of how to source family bibles and second hand information, such as interviews or personal recollections, on the Source Help page. As with any source, if you can gain access to the family bible or an image of it, you can view/transcribe the information from it yourself and include that information as an abstract of the source. You may also want to upload the bible page image(s) if you have any. If not, try to include in your source definition who transcribed the info that you do have and the current/last known location of the family bible. In any case, make sure not to disclose any private information of living individuals.
For facts that aren't supported by primary sources, you may need to mark them as uncertain. Try to be as clear and as accurate as you can about the source and which fact(s) it support(s) when defining it. For example, I've seen many 17th and 18th century profiles, sourced with a single statement such as "first-hand knowledge" or "personal recollection" of a WikiTreer. That can only be an accurate source definition if the WikiTreer witnessed all the events/facts presented in the profile, which is obviously not possible. Documenting the source of a particular fact is important. If conflicting information is found later, the evidence supporting each conflicting fact can be evaluated.
For Pre-1700 profiles, see the guidelines here.