60 / 61 or more likely 61/ 62 sounds about right
In 60 /61 the following players appeared for BFC. Where they are starred they also appeared for at least part of the 61/62 season:
Waiters*, Armfield*, Martin*, Kelly J, Gratrix*, Durie*, Matthews*, Lee, Charnley*, Kaye, Campbell, Mudie, Hill*, Salt, Crawford*, James*, Garrett, Hauser*, Green*, Parry*, Perry*, West,*, Chi Doy*, Paterson*, Horne*, Singleton*.
In addition to those above the following also appeared in the 1961/62 season: Oates, Thompson, Cranston, Harvey, Halsall, Napier
Perhaps the above may help people to fill in some of the gaps in the photo. Most were before my time