I have the same situation/requirement - how to have multiple people maintain different parts of OpenLP like the song database, images (someone creates background slides), service files etc.
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I tried using Dropbox = problem of maintaining file integrity because if you allocate multiple people to have edit rights then it is almost impossible to maintain versions, controlling people overwriting files etc. Also you can't get the management features unless you get Dropbox Pro which costs.
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Then I tried Google Drive - ugh. Like many Google services someone at Google gets a 'cool' idea and Google releases it half-baked and then doesn't maintain it. Unless something is making advertising revenue for Google they get bored.
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My solution, which works very well for us, is I setup a Git server. I made it as a virtual machine (VM) running on Oracle VirtualBox. The easiest (best) is either a Linux or Unix virtual machine - I made a FreeBSD VM.
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Mac OS X supports Git out of the box (so do Linux machines), for Windows I installed a Git client. Then I wrote a small script for the normal users (musicians, pastor etc.) which syncs the computers to the Git server.
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I maintain the OpenLP song master database (best if one person does that) the music leader gives me final verse text and I update OpenLP.
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People just launch the script and bang their OpenLP is updated. I have two OpenLP Git folders:
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OpenLP System - the OpenLP application folder which is usually hidden<br>
OpenLP User - I make this convention myself because OpenLP does not have an official,standard location, user data folder. This is for things like service files, images and so on.
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<font face="Arial, Verdana" size="2">It works smoothly and automatically. You can have people who have read/write permissions and others who only have read permissions. </font>Granted it takes a little to setup, but it is not that hard for anyone reasonably technical. If you are interested happy to share more technical info with you (to whatever detail level you want).