Yeah not even that sometimes...dates of employment, title, broad responsibilities (she wasn't a gardner, she was a nuclear physicist). Anything else potentially implies judgment and is open to interpretation/libel. That's how I've been trained in scenarios for references.
I've never heard of eligibility for rehire being given in an external reference. There is no purpose for that other than to get sued. But it may be in the file easily accessible for internal use only.
Also, most places I have worked will not allow management to give more than the dates you worked, and if they would re-hire you again in a job reference. They are too scared of lawsuits..