PointOnLineOverlayer and acquiring attributes of points at both ends of the line

I have street centerlines (Line Feature Class) with intersection points (Point Feature Class) the end of each line.

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I am using the PointOnLineOverlayer and only the attributes of one of the end points is included in the output.

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Using the picture here as an example, I want the Line output from the PointOnLineOverlayer Transformer to include the attributes something like this:

A St will include attributes of Pt 1 and Pt 3;

B St will include the attributes of Pt 3 and Pt 2;

C St will include the attributes of Pt 3 and Pt 4;

Currently, here is my Line output:

A St includes attributes of Pt 3;

B St includes attributes of Pt 2;

C St includes attributes of Pt 3.

Any ideas on how to ensure each Line includes the attributes of the points at each end of the line instead of only a point at one end of the line?