The match was halted for over an hour after 18 minutes when Finlay Armond required extensive treatment following a head injury which culminated in him leaving the ground in an ambulance.
Jenson Bark cancelled out Eastwood's half-time lead but the league's top scorer Kieran Knight scored two of the three late goals to hand the visitors all three points.
Boston (4-4-2): Jake Frestle; Nathan Stevens, Craig Forbes, Daniel Fisher, Jordan Elston; Xander Crashley, Finlay Armond (Taylor Gray 90), Marshall Young, Jamie Gaukroger; Jack Bastow, Jenson Bark. Sub (not used): Dougie Barrett.