The button with the lion holding a shield is almost certainly a livery button, containing the crest (in this case, on a wreath (or torse) a lion rampant holding in its forepaws a shield, probably of the coat of arms of the owner, with a coronet of rank over the lion's head (baron, as has been noted).
Going through Fairbairn's Crests, the closest I have found is:
Foley, Baron (Foley), of Kidderminster, Worcs., a lion rampant arg[ent], holding between the forepaws an escutcheon charged with the arms, viz.: arg[ent], a fesse engrailed between three cinquefoils, all within a bordure sa[ble].
In other words, a white shield with a horizontal black stripe across the middle, its edges scooped out, between three black stylized five-petaled flowers, with a black edging going around the entire shield.
Looking at the photograph of the button, I cannot be certain that the shield the lion holds is the same as that described by Fairbairn, but it might be.
The other crests found in Fairbairn's which are similar, Clark and Beynon, seem to be less likely. The lion in Clark's crest is holding a shield gyronny of eight, which the shield on the button clearly is not. The lion in Beynon's crest is holding a shield charged with a greyhound's head.
I hope that this is at least a little helpful.
David
