That would work... I have frequently had hens sit for 4 to 6 weeks if I had trouble getting eggs for them. The biggest thing to make sure of is that her health is good... if you go back a few pages on this thread, or search my posts on here you will find a number of them with treat suggestions to bolster them during the longer sit. Good luck with her hatch!
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When she started to go broody I move her in the house because I wanted to keep an eye on her