Yes Nainital Bank is the subsidiary of Bank of Baroda
It was formed in the year 1922.
It’s headquarter is located in Nainital, Uttarakhand, India.
The bank has expanded to Uttar Pradesh and Uttarakhand, and has over 130 branches in Rajasthan, Delhi and Haryana.
It is listed as a scheduled bank by the Reserve Bank of India

Its products are:

Finance and insurance
Consumer banking
Corporate banking
Investment banking
Investment management
Private banking

The Nainital Bank Limited has 123 branches presently in the following Indian states

Uttarakhand
Uttar Pradesh
Delhi
Rajasthan
Haryana