A previously posted article, Street Arabs of Michael Woolf, mentioned that Michael Woolf's Father drew cartoons for the American comic periodical Judy. I thought I would search him out and did find him working under the signature EW. The Richard Doyle influence is noticable. Judy, New York, N.Y. : Burgess & Stringer, Vol. 1, no. 1 (Nov. 28, 1846)-v. 1, no. 13 (Feb. 20, 1847). Judy was a weekly edited by Henry Grattan Plunkett.
I don't believe the bottom cartoon is by Woolf, the signature is EWC and JWM.