This topic comes up, in one form or another, pretty often on this board. So, I'll offer a somewhat general response, which is pretty much like the response I offer any other time...
Yes, there are such things as work at home part time jobs. However, they are not necessarily very plentiful. Consider how covenient and easy it sounds to be able to work without leaving the home... wouldn't lots of people want a job like that?
There are many people who do work from home in some sense or another, but I would wager than a majority fall into one of two categories. The first is freelance workers who already have some established skillset, and have some clients they work with in some capacity, like a writer for instance. (As another example, I do some web development and programming type stuff in this manner.) The other major category is the "home business" model: tupperware, mary kay, etc. Some people report decent levels of success with this, though personally I am not a huge fan and not much of a believer in the home sales model.
Something else worth considering is the question of why any desire for "work at home"? Too often the answer is something like "I need to be able to be here with my kids", in which case I'd caution that being able to effectively "be there for kids" and actually "work at home" at the same time is not always easy as it sounds. I don't know your situation of course, nor do I mean to imply anything, this is only a more generic observation.
Back to the original question of part time work, if I were needing a few hundred bucks a month extra, there are a few things I might consider: is work at a retail or food establishment an option? (Both are frequently options for part time night and weekend hours) Are there any skills/services you can offer, even seasonally? (As an example, in New England, many people who own a truck make a handsome side income during the winter by plowing driveways.) Or, can you do in-home babysitting or something like that? (There are regulations and limits, of course, but it's an option to consider)