If you've never had Chicken Pox you don't need the Shingles vaccine. If you've ever had Chicken Pox the virus that causes Chicken Pox is still in your system. It can be triggered again causing Shingles. If you *do* get Shingles then you can infect others with *Chicken Pox* if they've never had it, but not Shingles as it's an offshoot of a prior Chicken Pox infection. And I've read that the Shingles vaccine lasts only around 5 years so you have to have it again to keep that protection.
Honestly, at 60yo if you've truly never had Chickpox, then that's likely far more dangerous than Shingles and I'd consider getting vaccinated for ChickenPox 1st just for that reason. I've read conflicting reports on non Immune folks whether they should get CP and Shingle vaccines or possibly just the one or the other -- best evidence says get both. There is some very good evidence that shows CP vaccine actually significantly decreases the chances of developing Shingles later on though nobody knows how long that effect will last.
OTOH, an awful lot of people who think they've never had CP really have. I've had adults swear they've never had it despite living in households when their children and grandchildren had it -- won't say it's absolutely impossible, but let's just say I didn't believe it.
Wth the rate of CP being so low historically now due to most children being vaccinated it's not quite as scary as it was, but seeing an adult with a full blown case of Pox is beyond not pleasant.