No, Ebonite bought the Hammer trademark from Faball (at least, that's what this site says). Dunno what happened to the former Faball, whether they were folded into Ebonite or went their separate ways or what. Recent balls that say "Hammer" are made by Ebonite.
Columbia doesn't own AMF, strictly. They license the AMF name from the AMF company and designs/manufactures bowling balls under the AMF name. AMF is still a separate company, they make lanes and pinsetters and such, they are out of the ball market.
DT, apparently was owned by Storm at some point in the past, was bought or spun off in the somewhat more recent past, and is its own company. They don't, as far as I know, own anyone else.
I thought Big B actually manufactured balls for Lane 1 and Morich, though now I'm seeing that they simply provide the resins. Who does the manufacturing? Do those guys have their own facilities? I don't believe they do, as their balls have several "Big B" manufacturing characteristics like the locator pin for asymmetric balls and the punch mark for the CG (in addition to the Lane 1 core logo).
SH