OK, the plot deepens... It was worth trying though. Then let's recapitulate first what we already know:
Léonie MARTIN, René's mother, was married 1st to Jacques MICHON who died before february 1899 (as René don't have his name) and then married ? HÉNAULT between 1900 and 1907.
05 dec 1899 - Le Blanc (36): birth René MARTIN
~1907 : birth of Jean HÉNAULT (René's brother)
12 aug 1922 - Puteaux (92): marriage René MARTIN & Marie-Pierre LE RU
17 feb 1967 - Saint-Cyr-sur-Loire (37) : death Marie-Pierre LE RU ép. MARTIN
oct 1972 - Villeneuve-la-Garenne (92) : address Jean HÉNAULT
24 oct 1972 - Saint-Cyr-sur-Loire (37) : death René MARTIN
One way of finding quickly all successive addresses of the MARTIN household would be looking for his military service record (registre matricule) but you have to know where he lived when he reached 20 for that. In 1922, he had left Le Blanc and was in Puteaux apparently but where did he live previously?
Another angle could be looking for his brother Jean HÉNAULT instead as the name is less common and any child of him should know about his or her MARTIN cousins.
But before writing again, you should take a look here, it might be a lead about Jean: http://www.patpillorger.org/liste.php?choix=H
as it indicates HÉNAULT data in Le Blanc (36, Indre) for the 1907/1988 period and also in Villeneuve-la-Garenne for 1959.
I couldn't find him in her list of direct ancestors but the places and dates seems to match so I'd suggest contacting the lady owning the database as she still might tell you more about this family: patricia (at) patpillorger.net
Let me know how it goes.
All the best,