Her mother is also a jihadist fighter:
https://twitter.com/saa_soldier/status/806257179057491969?ref_src=twsrc%5Etfw

Also, Bana's family has had media promotion from the same rebel-advocating photograpgher who photographics the beheadded 11 year-old boy:
https://twitter.com/ammarjaber8/status/785109861394702336/photo/1?ref_src=twsrc%5Etfw
https://twitter.com/MrTonyMan/status/766660512566435840?ref_src=twsrc%5Etfw