Stylistically, I reckon they could all have fitted on one or another of the P1853 or P1858 muzzle-loading rifles. Or the Sniders. If you have it, take a look at SAIS No. 20 ".577 Pattern Rifle Musket & Snider-Enfield".
I have the "family" of P1851, P1858, P1861, Snider 3, Martini-Henry IV and a genuine Kabul arsenal P1853 copy (not Khyber Pass!). If I were to remove all the bands and mix them up on the table that would be my weekend gone to sort them all out again.
---------- Post added at 12:58 PM ---------- Previous post was at 12:51 PM ----------
That style is for use with band springs, not a through pin. Bands held by band springs either have a single locating hole for the lug on the spring or are held against the step in the woodwork by a step on the spring. Some plain bands were also held against the step in the wood by a pin through the wood in front of the band, not through the band.