OK, going to try and explain this as best I can.
Have widget.com/state.
state.gov/widget mentions (and links to) widgets.com/state.
searched for "widget state".
on first page of serps state.gov/widget is number 3 (10 results per page), widget.com/state not on first page.
go to second page of serps and there is state.gov/widget again in the number 2 spot (12 over all) just above widget.com/state in the number 3 spot (13 over all).
Is this the "user intent" deal, are they so sure I intended to click on state.gov/widget that they showed it to me again on the second page?