I will try to give you info re limited info you supplied. Was the dresser wood? If it was made before 1910 the protective coating would not have been lacquer but either varnish or shellac. Do not use soap and water.
Did the alcohol eat thru the protective coating? Are you seeing a spot where the finish was removed? Use a soft rag like a washcloth - dampen a corner and use a little dab of white toothpaste - not a gel and rub gently. This is one of the mildest abrasives you an use. Do a little at a time to see if it is working.
If the coating has been completely removed and the bare wood is showing you may need to refinish the top. Hope his helps.
I'm not sure how you would remove it, maybe goo gone? But most stores actually sell these pens that come in a variety of stain colors (got mine at Walmart) you can use over the stain possibly. I have used it many times on dents or scratches on different pieces of furniture (coffee table, chairs, & dresser).
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