Hello Lawrehoo,
Your Carson, family in Kilmarnock, 1861, census index.
Carson Robert, age 40y, born Glasgow,
Carson Mary, age 38y, born Old Monkland,
Carson Elizabeth, age 17y, born Glasgow,
Carson Mary, age 13y, born Kilmarnock,
Carson John, age 10y, born Glasgow,
Carson Sarah, age 7y, born Kilmarnock,
Carson James, age 4y, born Kilmarnock,
Carson Thomas, age 1y, born Kilmarnock.
I know it looks like they moved twice from Glasgow, and Kilmarnock, because Mary's birth is stated as Kilmarnock, but that could be a transcription error.
Regards,
Jonn.