I had a similar problem caused by a Crane cam that had the oil groove ground in the cam too far forward. Same remedy, we ground the groove wider to compensate.
Like Jay said, you should always pre - oil any freshly assembled engine and witness oil flow from each rocker, or suffer this sort of consequence for not doing so. A side oiler has a couple extra "gotchas" that the average machine shop is probably unaware of. Heck, any FE is a mystery to the average shop nowdays.
1912 Model T Ford touring Salmon (ugh!)
1913 Model T Ford Touring original Black paint
1915 Model T Ford Roadster Black
1915 Model T Ford touring Black of course!
1967 Cougar GT 390 Cardinal Red / Black
1968 Cougar GTE 427 Augusta Green / Saddle
http://www.supermotors.net/vehicles/registry/15029/50071-2