Mark Lawson did indeed found The Church of Jesus Christ ministerial organization in 1927. I do not know why, but it was re-organized in 1934 by Mark Lawson and the bishop board at that time. Without going into specifics, suffice it to say, the group splintered several times.
The First Church of Jesus Christ org out of Tullahoma, TN is one of the slpinters. The superintendent of this group is Bishop Honea. The Church of Jesus Christ from the Dyersburg area now has it's headquarters in Portage, Indiana. The superintendent is Bishop Spence.
The 1927 org has a church in Dyersburg, also, but I do not recall the pastor's name.
There are more groups, but I do not recall all of them without looking them up. The most baffling one is the one started by Boyd Lawson in the 1970's. Boyd (so I have heard) claims to retain the original charter, but the group from Kingsport keeps tremendous records, and has the paperwork, and is current in Nashville as the original 1927 org. Most of the original churches (the ones that still exists anyway) are with the Kingsport group.