|Remove the main battery and AC adapter and DO NOT use the laptop until you have taken it apart and cleaned up any oil that has gotten inside it, otherwise you may RUIN the laptop!|
If you don't want to do that yourself, take it to a laptop repair place and have them do that for you.
If you want to try doing that yourself, the Toshiba web site may may a Service or Maintenance manual for your model or model series you can look at and/or download. If not, try searching for one on the web.
You need to use something that can remove the remaining oil after you have wiped up as much of it as you can without damaging the computer components or the display. Solvent or paint thinner will remove the oil but I don't know if it's safe to use that with a computer, and it may leave behind a film you need to remove with something else (e.g. Windex). You could try cleaning up the oil on something else with other stuff that won't harm the computer such as methyl or isopropyl (rubbing) alcohol, or a compound meant for cleaning up inside computers you get at places that have that such as Radio Shack or electronic parts places.