Cannot get paint removed

I bought this beautiful vintage floor lamp. It is painted gold, pink and blue....not exactly what I want. I did sand the top wood enough to know it is pink under everything. Normally I would use my homemade lye, cornstarch and water to remove the paint but I am not sure what the wood is and if it is too soft it would get damaged. I have used paint remover to no avail. Suggestions of a great paint remover?
Beautiful flourish
The finial
The double light with chain
Area around the top
The base with tons of rust. It is now removed but will show you that when the project is completed.
Close up of base
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