Hello,
Some of the earliest 280SE, 250SE sedan transmissions and some of the finback transmissions were the same. First of all look for the sixteen bolt transmission oil pan for the correct one. (The wrong trans will have four bolt oil pans) Next check the ID plate on the side/bottom of the trans. Sometimes the ID tags on a sedan transmission will actually be labled "230SL" from the factory or the ID label on a 280SL trans may be labeled 280SE from the factory! No four cylinder or eight cylinder Mercedes sedan auto transmissions are correct for the W113 SLs. Your best bet is a 1962 to 1967 Mercedes six cylinder sedan, coupe or convertible for the correct transmission. These include some of the W111 (220Sb, SE, 230Sb) , W108 (250S, SE,280S, SE) , W110 (230), chassis models.
Sometimes the bolts holding the valve body in the trans become loose over the years and cause an internal hydraulic leak at its gasket, especially after the fluid is warmed. I always re-torque the valve body bolts during a fluid and filter change. Occassionally it fixes this type of problem. A long shot, but may be worth a try.
Joe Alexander
Blacklick, Ohio