I was laid off and used COBRA for 7 months. Started a new job and was employed for 6 months, quit the job because we moved. Am I entitled to COBRA again from the second job?
Yes. COBRA is just a law that says your employer must extend a terminated employee's eligibility under it's health plan for 18 months, but you must pay the full premium and potentially an up to 2% administration fee. The general caveats are: there is a minimum employer size, you cannot be terminated for "gross negligence" but the termination can be involuntary, and in some circumstances you can get a 36 month COBRA eligibility period.
COBRA is not some independent federal program; it is a rule that employers are forced to comply with. You were enrolled in Employer #1's plan then terminated and eligible for COBRA, then completely separately you were enrolled in Employer #2's plan then terminated and eligible for COBRA. The two COBRA qualifying events are independent of each other.
You will also have your special enrollment periods for individual coverage based on your termination dates.