The Tecalemit oil guns that Myford supplied were a bit limited when trying to seal against the oil nipples of the lathe. Search for "Wanner oil gun" to find some ones that are similar in shape (albeit a bit bigger) but about 50 years newer in design. They have the option of a concave nozzle with plastic seal for the oil nipples, a conical nozzle for the ball oilers or a hemispherical nozzle for the grease sockets on my milling machine, and some others!
Useless fact:- The oil nipples on the Myford lathes are to the original Zerk design rather than the later spherical headed design. Probably not because they're specifically for oil, just because that's what myfords used and never felt any need to change. 