These verses indicate that at the close of the meal of the peace offering — when most would be sitting back enjoying the moment and reflection upon all that had just transpired, and thoughts of the coming week were perhaps filling the mind of some and the issue of clean up the minds of others — Hannah was back at the temple/tabernacle praying and pouring her heart out before the Lord!
Now this text is stressing that Hannah is in a context of formal worship because Eli was sitting on THE SEAT by the doorpost of the temple of the Lord. The word seat is an official word in the Old Testament for “throne,” “seat of honor,” or “authority.” As such, Eli here is not just lounging by the temple. Rather, he is seated (due to his age ) in his official capacity as overseer of the worship at Shiloh.
And hence we see that Hannah's struggle was not separate from the worship of God, but was part of it.
For a transcript of this sermon follow the outside web link.