I don't have prior experience as this in my geese's (pilgrims) first year laying, but I can tell you what I have going on. Lucinda started laying about mid-February. I have been collecting and incubating, and I assumed the activity and laying was done as I noticed she wasn't laying every other day like clock work as she had been before. Well, she is still laying! The pond time rendezvous is still going on as well.
Long story short, we had a drake pekin duck who claimed Lucinda as his mate. The ganders were trying to have their time with her between that silly duck and his attempts. We sent the duck to live at my uncle's duck pond, so now fertility will be increased and she won't be constantly harrassed.
There are currently 3 eggs in the nest. I'm going to leave them for her to keep adding to and hopefully set. I was thinking about adding some infertile chicken eggs to the bunch to increase the count if need be.