That Bf-109B in the photo with a white Zylinder hat marking could be any one of the following 12 matricules:
6o20, o22, o23, o26, o28, o29, o30, o32, o33, o36, o38 or o39.
I know of other photos that show a 1.J/88 assignment for candidate Bf-109Bs with matricules of 6o20, o33, o36 and o38. It is not impossible for any of these planes to have been at one time assigned to 2.J/88, but I don't believe that such transfers happened with most of the Bf-109s assigned to J88.
Other photos exist showing Bf-109Bs with matricules 6o19, o23 and o32 repainted in light gray camouflage and with black Zylinder hat markings. There is a photo showing 6o29 with a black Zylinder hat, while still finished in its original dark green camouflage. I have not seen a photo of 6o39. The only photos I have seen of matricules 6o17, 6o18, 6o19, 6o22, 6o26, 6o28, 6o30 (while still in their dark green camouflage) are of the right side of the fuselage, or of the left side but before a staffel marking had been applied.
Of course the available photo record is not complete. The photos Paco posted above were new to me. But it seems reasonable that several 2.J/88 Bf-109Bs would have been marked the same, with white Zylinder hats, not only one of them. It is my speculation that the most likely identity of the Bf-109B with white Zylinder hat is among matricules 6o22, o23, o26, o28, o29, o30, 032 and o39. I hope many more great photos like it will become available to us in the future.