If you are NOT in NY when you receive the pension income, it is NOT taxable by NY.
Since you own a house in NY, if you are there as a part year resident, then for the percent of time you spend in NY, it would be taxable as NY income.
The fact that it comes from a corporate office in OH, does not have any affect on your pension taxability. The only thing that affects who taxes it is where you live when you receive it.
I spend approximately 60 days a year there.
Are they entitled to 60/365 or 60/183 of the income? 183 represent the number of days they no longer consider you a part time resident.
I also have a deferred compensation plan from my prior company that is reported on a W2. Does the same rule apply for that income? Social Security?
My understanding that dividends and interest income is not considered.
No. If you are considered a non-resident, then none of your pension is taxable to NY. A state cannot tax your pension if you are a non-resident. If you were a part year resident, then they would tax it on a prorated amount.