Yes. Wife has Philippines passport in maiden name, and will buy round-trip ticket with an airline in maiden name to the Philippines.
While in the Philippines, wife wants to update to a new passport with marriage name. If she gets the new passport expedite, she needs to return with the new passport with the marriage name. Remember flight ticket is in maiden name.
Will the airlines or US immigration have a problem with the new passport in marriage name? She will have US marriage certificate and Philippines Report of Marriage along with Green Card (marriage name), cut-up old Philippines passport (maiden name), new Philippines passport (marriage name). Is there anything else we need to avoid misunderstanding with the airlines or US immigration? Thanks