Chasetown took the lead when Aaron Ashford netted from close range, before Jack Langston scored a free kick that eluded everyone.
Danny O'Callaghan also scored a low curling shot to put Chasetown three goals clear inside a 9 minute spell.
Stamford reduced the deficit with a stoppage half penalty which meant a nervous start to the second half.
That said though, Pond was rarely troubled and Langston and Liam Kirton went close to adding a fourth, as Chasetown moved into the top 4.