2019 purchase, 2018 property tax has no exemptions

[Davis C.]

Purchased a property March of 2019. Previous owner had homeowners, senior and senior freeze, as reflected in the 1st half 2018 property tax bill.

At closing I was credited 2nd half of 2018 property taxes based on all these exemptions. I received the 2nd half 2018 bill recently, it's in my name and all the exemptions are gone. 

I thought since the property was in the previous owner's possession all of 2018, I would pay the taxes based on their exemptions? If not, shouldn't I have been credited the full estimated amount at closing?