I checked the vital records for
Lassila, but found only a few records for that name in Gloucester. There were no births listed. I also checked using only the first names and approximate dates, but still no luck. It's very possible that these children were born there, but that the parents didn't record the births.
I did find a couple of death records that may be of interest. Two little girls died in Gloucester on October 10, 1893, cause of death for both was enterocolitis. The first girl was Brita Evelina
Lassila, age 2 years 8 months 4 days, and the second was Jina Eelin
Lassila, age 11 months 12 days. Both were born in Gloucester, and the parents of both were
Abraham [
Lassila] and Mary Pettlar, both born Finland. I think it sounds like they're from the same family.
Hope this helps!
jp