It looks like I have excessive amount of oil in my coolant reservoir

I initially thought it was done on purpose but I have flushed it a few times and it keeps doing it. What do I do? I know a little about cars but I'm not sure I can fix this on my own and can not afford to have it fixed. This is my only means of transportation. Should I take the car apart, soaking all hoses reservoir and radiator in hot soapy water then take apart manifold as far down to the gasket. Will I be able to tell if it is the gasket or if the head is cracked. Need advice. Please help

You need to be able to determine if it is trans fluid or motor oil first. That in itself will determine what the next step is. Have you checked/added either engine oil or ATF to it lately? Make sure you check fluid levels precisely as outlined i that vehicles owners manual.