I suppose 'water pot' is /ʊ/. If so, it is a classroom mnemonic that I haven't met.
I don't know of a list of such 'friendly' names. If you want names of the symbols used in the IPA (which I think is what you want) I can give instructions for Window only. Open the Character Map (depending on your operating system it is either an Accessory or in Accessories>System Tools). Select Lucida Sans Unicode, which should be available on any modern Windows system. Point and click on the symbol you want, and at the foot of the window the name of that symbol appears (following a Unicode number, which may be useful if you have a remarkably good memory!); the name of the symbol you know as 'water pot' is 'Small Latin Letter Upsilon'. I know which I prefer