You're right about the spelling and that the origin of Shipley (if it were Arabic) is Shibly.
However, as per most of the Lebanese families, you've got to find out whether your ancestors were Muslims or Christians in order to narrow down your search. It would even be more helpful if you could know of what sect of the two religions they were.
Let me be more specific. As for Hussein Ali Shibley, he was definitely a Muslim (Hussein Ali), and most likely a Shiite Muslim (also due to the first and second name). Now, knowing that the majority of the Shibly family is Maronite Christian (Catholic), this would greatly shorten the list of possible origins (go back to my previous reply for that).
As for Khalil Shibly, unfortunately, this first name (Khalil, which is mine!) is a common name for both Muslims and Christians. However, your mentioning of Bshirri as possible origin indicates that Khalil Shibly was a Maronite. There are several towns in Mt. Lebanon in which Maronite Shibly family branches live, most notably Hadath, Dfoun, Bifaya, Mayfouq, and Saqiet Al-Misk. There appear, however, that there are no Shibly in Bshirri itself!