The 1889 Wilmington city directory is online also. If you go to the Ancestry message boards, Delaware, New Castle county and enter Wilmington city directory 1889 in the search bar and check just New Castle, you will find a message with the link.
There are 6 Moncktons:
Rufus H., laborer 926 W. 6th St.
Anthony, laborer, P.W.&B RR,, 113 Walnut St.
Elwood, bricklayer, 906 W. 7th St.
Geo H., currier, C&J Pyle Co., 615 Adams St.
John W., shaver (hooves?), C&J Pyle Co.. 1227 Linden St.
J. Evan, foreman, L.C.W. Co., bds (boards) 315 E. 3rd St.
Rufus, Elwood and Geo. H. are all within a block or two in the city.
The directory lists businesses also, so you may be able to decipher what kind of companies these were (other than the obvious railroad).