Mother (84 yrs) died in 2019 and she had an annuity. I was a beneficiary along with 3 others. My 1099R has a taxable amount $1,200, can I deduct this for NYS taxes?

Yes, you can get an exclusion for pensions that are taxable in New York.  Because your mother was 84 years old, she was eligible to exclude up to $20,000.  As the beneficiary, you are entitled to the same exclusion your mother would have had.

The New York State tax website for retired persons at this link has the details.