The problem here is that I'm finding too many people...You probably have to make a list (if you don't have it already) of all know relatives of your grandparents, who could have immigrated to or visited the USA between 1892 and 1924 and use that to checkthe names that show up.
Two records seem to be promising:
FARIDE HANNA, 40 yrs old in 1912, came to visit her cousin Leon el Helou in New York.Her husband Hanna stayed in Kharby, Turkey (most likely in present-day Syria or Lebanon).Could this be Faride Stambol, married to Hanna?
BUTROS (20 yrs) and ABLA (21 yrs) SAKER RIZKALLA, arrived in New York on 24 March 1914.They came from Artiba, Syria and both gave the name Rizkalla Saker as a reference back home.There's some confusion as to their relationship to each other and to Rizkalla Saker.A hand-written note on the manifest indicates that Butros and Abla are married.She refers to Rizkalla Saker as "brother in law" and he as "father in law".It is definately worth it to print this manifest!
Several other possibilities exist under Rizkalla, Saker, Sacke, Sackre, Sackr and Sakre.Once you search the name, re-do a search on "ethnicity" and check both the "syrian" and "turkish" boxes.
And don't be put off by people who seem to originate in Cuba or Mexico.Many syrian-lebanese stayed there for a few years before moving on to the USA.