That combination of Dayton/Fullerton is extremely common ... as would Cleveland/Dayton.
Where it gets confusing is if there is a Covington built drum with a Dayton tag in a set with a Fullerton tagged drum ... that would be slightly odd ... not impossible but far less likely that the drums were born together.
A zolatone painted interior drum with a Dayton tag with a zolatone Fullerton drum is extremely common.
That would mean the Dayton tagged drum was assembled in Dayton ... and drums were only assembled in Dayton for a very short period of time before packing up and moving to Fullerton.
I was told by employees who worked at all 3 locations that there were most likely even Dayton tags that made it to Fullerton and got put on drums before the first Fullerton tags were available which will be the tags without a border... later the border returned... but the early Fullerton 1969 tags are borderless.
The timeline looks something like this.
53-68 Covington
All Cleveland tagged drums were built in covington. (the exception would be a left over cross out tag that made it's way to Dayton or even Fullerton. rare but it has happened)
Dayton tagged drums from 66-68 will also be Covington built.
CBS purchased Rogers in April of 66 and moved the business headquarters to Dayton so the tags will say Dayton shortly after that purchase.
Production stayed in Covington until 68
In the summer of 1968 CBS moved assembly from Covington to Dayton where you start to see the zolatone interior.
Production remained in Dayton from the summer of 68 into the around spring/early summer of 69 when everything was packed into semi trucks and moved to the Fender facility in Fullerton California.
You can see how the mixing of tags would take place just by reading that timeline.
Is the Tower tag on the snare?
It would not be super common to have a random Tower tom or a Tower bass drum on a born together set with Holiday drums... but would not be uncommon to have a Tower snare drum with a Holiday set.
Confusing enough ?
;)