The exact same thing happened to me, I was renting an apartment at the time, there was just me and my then young son, almost 2, the stove was old and did not light up well, and had curtains above it, I was expecting an important call from the states, and found my phone line dead, so I went next door to use the phone, I had put on some oil to cook fries too, and forgot, and of course it did not light up well, the one lucky thing was it was a very cold night, and I could have left my son in his cot, but I decided NO, and wrapped him up and took him with me, thanks goodness, as yes it did go on fire, someone passing came and knocked on the door asking who lived there, I have since got a very big fear of fire, luckily the damage was mostly smoke damage, and the landlord was fine, as she got it all paid out on insurance and wanted to re-decorate anyhow, but I will never forget it, it still haunts me what could have happened.!!!