Ericferret,
There is no specific back-to-birth history requirement, although I can see where some people may get that idea. The bit of Part M you're interested in is M.A. 710:
M.A.710 Airworthiness review
(a) To satisfy the requirement for an M.A.902 airworthiness review of an aircraft, a full documented review of the aircraft records shall be carried out by the approved continuing airworthiness management organisation in order to be satisfied that:
1. airframe, engine and propeller flying hours and associated flight cycles have been properly recorded, and;
2. the flight manual is applicable to the aircraft configuration and reflects the latest revision status, and;
3. all the maintenance due on the aircraft according to the approved maintenance programme has been carried out, and;
4. all known defects have been corrected or, when applicable, carried forward in a controlled manner, and;
5. all applicable airworthiness directives have been applied and properly registered, and;
6. all modifications and repairs applied to the aircraft have been registered and are approved according to Part-21, and;
7. all service life limited components installed on the aircraft are properly identified, registered and have not exceeded their approved service life limit, and;
8. all maintenance has been released in accordance with this Part, and;
9. the current mass and balance statement reflects the configuration of the aircraft and is valid, and;
10. the aircraft complies with the latest revision of its type design approved by the Agency.
(c) Through the physical survey of the aircraft, the airworthiness review staff shall ensure that:
1. all required markings and placards are properly installed, and;
2. the aircraft complies with its approved flight manual, and;
3. the aircraft configuration complies with the approved documentation, and;
4. no evident defect can be found that has not been addressed according to M.A.404, and;
5. no inconsistencies can be found between the aircraft and the paragraph (a) documented review of records.
The person doing the Airworthiness Review will therefore examine all available records to determine the above. If there is a question over a particular part of the documentation (e.g. missing ADs in a missing logbook), inspections will be carried out as required and the CAA informed (MA710(h)). CAA will ultimately decide what, if anything, needs to be done to solve the problem.
I think in your case you'll have no problem.