Any specific reason you wish to have this information - please keep me informed about this and any other information if you need from my end. He has two sons and daughter-in-laws

Although I have not got direct contact with BR Bhagawat's legal heirs, but there was a news about his wife's sad demise in 2013 Nov, the link of the same is provided below, so you may check this. 

http://archive.indianexpress.com/news/childrens-writer-leelavati-bhagwat-passes-away-in-pune/1199704/