On one hand, I would like to say that the Puritans would have found the poem a practical expression of how their labor ties into their spiritual lives. The poem is focused on God and his work in a very concrete way. Taylor shows that God's glory can be reflected through the common labors of everyday life. The poem is about making cloth, which is a long, step by step process. There are a lot of pieces and steps involved in making something beautiful. That is how the Puritans would view their Christian work as well. It takes a long time for a person to truly become something God glorifying.
On the other hand, I fear that Puritans might view the poem as a waste of time. It is not the Bible; therefore, it is not God's special revelation. I think many Puritans would have the attitude that if a person is going to spend time reading, he/she should be reading the Bible.