@Leeds2 - does your daughter live in New York City or is she further out in NY State?
If she’s in or near the city there is actually a (proper, authentic) British Fish & Chip shop near 14th St Subway station called ‘A Salt and Battery’. I used to go there when I fancied proper chips instead of skinny French fries…they even have curry sauce and mushy peas. There is limited seating at a small counter at the window - you can get Boddingtons, Irn Bru etc. to drink too!
www.asaltandbattery.com
Right next door is a proper English tea room (which also does a Sunday roast) and they have an annexe attached which imports lots of chocolate bars (many are on your list) biscuits, Christmas & Easter chocs, squash, tea, jam, marmalade, salad cream etc. from the UK:
www.teaandsympathy.com
There is also a traditional British grocery store in the West Village where they make sausage rolls, meat pies, HP sauce and authentic pork sausages!
(Mostly I found that sausages are Italian style and can be quite ‘sweet’ and have a tougher texture….only around St.Patrick’s Day is it sometimes possible to get Irish sausages in a few places like Trader Joe’s)
www.myersofkeswick.com
However….none of these places are what I’d call inexpensive but it’s nice to get a ‘fix’ of something British. To be honest it’s reasonably easy to find chocolate bars in and around NYC as there is quite a large British expat population.
I would take things from M&S (own label) or maybe Waitrose which she definitely wouldn’t be able to find in NY.
If you’re checking in a suitcase into the hold it’s fine to take in cheese as it’s really cold in the hold! My friend used to take in British cheeses to Singapore (on the Equator…so super hot) and the cheese was fine on arrival. Perhaps you could take a ‘selection’ box of British cheeses eg. Red Leicester, Wensleydale, Double Gloucester, Stilton: I’ve seen them in places like Sainsburys.
Ironically I used to sometimes find ‘Coastal Cheddar’ from the UK in Trader Joe’s or Costco - mature cheese and delicious, crumbly and with salt crystals and so much nicer than American cheese. I’ve moved back to the UK and live in Dorset…I was delighted to discover that it’s produced just 25 minutes from my home!