I normally work for USD $20-25/hour but I am going to propose to do this for USD $13 to try to help you out to get it finished. I think it's outside of your budget though, so let's see. I don't really like working for hourly rates because it's kind of hard to track, but I can do it and install some kind of tracking software if you prefer.
Can I see the site please?
Do you have a full list of tasks to do?
Maybe we can even do a fixed fee or I can make an estimate on how many hours it would be and then modify my quote.
I'm not in the habit of maximising income, I really want to be clear with people about how we work so nobody will end up feeling cheated or upset. It really sucks that your developer wasn't able to finish the project, I hope you only paid what he or she completed.
My experience - I have 20+ years experience working with PHP/MySQL mostly on raw code and almost always on CMS-type systems with log-ins, reports, and really cool functionality some of it automated processes for maintenance, marketing, creating PDF brochures, even made a dice game using php, chat and then chat moderation, an artificial intelligence that plays yahtzee, web scrapers, all kinds of fun things. Mostly it's customer management though.
Ok, that's enough from me, hope to hear from you.