The band will be bringing a full line-up, including all the Celtic instruments, a brass section and a variety of percussion, and led by Julie Mclelland on vocals.
BFCH have enjoyed a busy summer, appearing at a number of the UK's major festivals and receiving good reviews for their original sound and style.
Many of their songs have been licensed worldwide for a variety of uses and they are currently recording their sixth original CD.
Frontman Steven Mclelland said: "We always look forward to a good show at Blackfriars.
"It is a great little theatre with a good size stage and a good sound and light system. Also, the theatre allows the audience to see the band close up and in comfort.
"Our audience on Saturday will be of all ages – just people that enjoy live music. We hope to raise plenty of smiles and promise to give Boston our very best."
The show starts at 8pm and tickets are priced at £8 (£7 concessions) from the box office on 01205 363108.

For the best news, sport and leisure coverage in the area turn to the Boston Standard, out every Wednesday for just 40p.