Fresh from a 3-3 draw between the sides at the Jakemans Community Stadium earlier in the season, United found visiting Chester FC too hot to handle on this occasion.
The Seals were 5-0 victors to book their place in the second round draw.
Boston: Austin Barker, Finley Hipkin, Oliver Houlston, Dexter Tomlinson (Will Langford 15, Daniel Bridges 80), Charlie Brooks, Kirlis Snikeris (Zac Hardy 60), Toby Cotton, Jake Thompson, Will Pettitt, Oliver Callaby (Sean Bray-Smith 70), Rhys Smaller.
Referee: Istvan Mod.