The term migration has been applied to the transfer of information both in connection with "data migration" and in connection with "computer migration" since at least the 1960s. One interesting early instance is from Proceedings of the American Society for Information Science (1969) [combined snippets]:
Migration. In order to maintain this high level of access (90%) against such a small quantity (35Í) of the Data Bank, a system of data migration will be used. This migration will also make most effective use of these various devices. The migration of records either up or down the various levels of storage will be based upon accumulated usage--the 'number of accesses against each individual record. This migration system will be low in priority and will normally occur during slack periods.
Earlier still are a couple of instances of "computer migration." From Petroleum Abstracts, volume 8, issues 36–52 (1968) [combined snippets]:
A time-varying grading threshold is employed to limit the number of reflection segments which are output to an automatic plotter or carried for subsequent processing such as computer migration.
From Technical Survey, volume 24 (1968):
Digital processing of geophysical data enters period of refinement: "convent" (coherent-event display) makes use of picking techniques to display a "picked" section, which may be picked according to continuity of event, amplitude, or both. Such display is also available with automatic computer migration of the data. The process is used as an interpretive aid. The trend away from use of dynamite as a seismic source and toward use of weights, vibrators, etc, should place an increasing load on in-field processing, etc (Oil & Gas J, 2/19, p68–70).
The notion of migrating data to different storage or computing devices evidently goes back at least to the late 1960s, and it may be even older. Two of the oldest Google Books matches come from the petroleum industry, but there is far too little data to support any broader conclusion about the role that industry may have played in the early days of data and computer migration.