I've not heard of such a lawsuit, but if there was one, I'm sure it wouldn't be with the Grass Roots as they didn't originally record the song. The Rokes originally recorded the track in Italian. Follow BeatleJohn's link.
"Beside me" version has the matrix 01099 RE etched in the outrun grooves, "Deep inside me" has 01099.
P.F.Sloan plays lead guitar on A-side
The song had been originally recorded in Italy by an Engish group called "The Rokes" in Italian, titled Piangi Can Me (Cry With Me).
Look here. They also did an English version, you can check it here
I learned recently that there were 2 different pressings of the 45, one with the original "deep inside me" lyrics and one with the cleaned up "beside me" lyrics. I'd love to know if there is a way to tell the versions apart....I think they both were only available on west coast pressings.