Without seeing what your pattern looks like, there is a company online in the US that has a BBB A+ rating that has replacement pieces for Minton sets:
Would need the pattern name in order to see if there is anything else online that can help in getting replacement pieces. The site above though seems to have all sets listed.
There is no pattern as such, just the fluted finish on the pale apple green colour. There is also no number on the base of the pieces. The set was given to me in 1950. Hope this will help you!