The Daimler-Chrysler group and the Daimler of Jaguar have nothing to do with each other.
So the name comes just from overtake from the Daimler factory by Jaguar. The Daimler brand though got into an alliance with Chrysler. I guess you could compare it a bit to what happened to Rolls Royce. VW bought the factory and BMW the badge...In 1960 Jaguar purchased the motor pioneer firm of Daimler. Jaguar needed more space and Daimler had a large factory in Coventry, to which engine manufacture would subsequently be transferred.
Source : http://www.jaguar.co.uk/uk/en/compan.../1953_1963.htm
So the name Daimler within Jaguar signifies the top of the range models from Jaguar. Jag's Daimler is nothing more than a name that has lived on from Jaguar's history from the 60's.