Specifically, Honolulu had 29,628 births in 1961. The total for the state was over 35,000.
According to the CDC’s Vital Statistics Report for 1961 (p. 157), Hawaii had a total of 17,578 births in 1961 and Honolulu had 14,874.
That report can be found at http://www.cdc.gov/nchs/data/vsus/vsus_1961_1.pdf
Did you find a report that had different numbers?