4-4-0 #45, built by Schenectady in December, 1870, was renumbered #8.

Now . . . the only #8 that the LIRR rosters show in later years (c. 1920) is G54sd (4-6-0) camelback built new in 1902 and retired in the late 1920s. 

Therefore, we can conclude that, to avoid duplicate road numbers, (probably the MAIN reason for the renumbering of October, 1, 1898) renumbered 4-4-0 #8 was withdrawn from service either in 1902 or prior to that date, which sounds about right, because:

1.  It was a VERY old locomotive style and not strong enough to pull longer trains.

2.  It was 18 years older than renumbered #48 mentioned above, which was STILL on the roster until the 1920s.

3.  Being built in 1870, it would have been 31 years old in 1902 if it were still in service:  a long life for a locomotive!

4.  In 1902, brand-new G54sd camelback #8 went into road service and there was, obviously, no duplication of road numbers at that point in time.  Research: Dave Keller

4-4-0 #116, a D53b built by Rogers in June 1888 (not 1886 as the photo states) was renumbered #48.  That locomotive appears in Ron Ziel’s roster of  D53b locomotives. Info: Dave Keller

0-6-0 Class B51, B52, B52a, B53, B53sb  Numbers: 170 thru 196, inclusive

B-53sb #170 was taken at Morris Park Shops.  The coaling derrick is just visible at left and the Montauk branch embankment is in the right background.  Smoke everywhere is a give-away.

0-8-0 Class C51s, C51sa Numbers: 251 thru 269, inclusive

4-4-0 Class D16b, D16sb Numbers: 201 thru 231, inclusive

4-4-0 Class: D51, D52, D52a, D52b, D54, D55, D55a, D56 Numbers: 25 thru 42, inclusive  64 thru 100, inclusive

4-4-0 Class Camelbacks D53, D53a, D53b Numbers: 43 thru 63, inclusive

4-4-0 Class D54a Numbers: 308 thru 312, inclusive

4-4-2 Class E1 Numbers: 198 thru 200, inclusive

E51sa Camelback #1, sister to #2 of the Golden’s Pickle Works wreck at Calverton, was, at one time, named after her engineer “Edward Hulse”.

James V. Osborne photographed her c.1925 at Speonk with Hulse’s name painted under the cab window.  Research: Dave Keller

#35 10/06/55  on the layup tracks at Morris Park Shops looking north.  The passenger cars are on the Montauk branch embankment.  The steel stanchion behind the middle car is the floodlight tower for the Richmond Hill Storage Yard.  The structures at the right background are the sanding facilities, etc. at the storage yard. Collection: D.Keller

G-5s #49 at Port Jefferson.  The building behind the loco is what later became the Purina Feed building fronting Rt 112 across from the station platform.
Collection: Dave Keller

4-6-0 Class G51, G51a, G52, G52a Numbers: 101 thru 122, inclusive

#139 Patchogue 1913

#141 6/19/38 Oyster Bay

#145 7/5/31  LI City

G-54sa #18 with Engineer at L.I. City, c. 1924.  The engineer is James C. Eichhorn.  His name is painted under the cab window.
Collection: Dave Keller

G54sa #16 1921
Collection: Dave Keller

7-1-34  H-6sb Hillside

H-6sb #303 Morris Park 6/1/48 Collection: D. Keller

 
H-6sb #313 c.1935
 Collection: D. Keller

#110 LI City ex-PRR 8610  

Photo:

This  engine is still sporting classification lights atop the smokebox. These were gone from freight engines by 1939. Many lost them much earlier. 
Info: Dave Keller

The LIRR acquired their H10s engines from the Pennsy between 1928 and 1930. Only ONE H10s that the LIRR owned was built by the PRR, however ALL were previously OWNED by the PRR and were assigned PRR road numbers. 

Roster of  H10s engines with builders and build dates:
101    1913  Baldwin
102    1913  PRR
103    1913  Baldwin
104    1915  Lima
105    1913  Pittsburgh
106    1913  Baldwin
107    1915  Baldwin
108    1915  Baldwin
109    1916  Brooks
110    1916  Brooks ex-PRR 8610
111    1916  Brooks
112    1916  Brooks
113    1916  Brooks
114    1915  Lima
115    1916  Lima (ex-Vandalia RR)
116    1915  Baldwin
117    1915  Lima (ex-Little Miami RR)
118    1913  Baldwin
119    1913  Baldwin  

#22 Builders Photo
Collection: Dave Keller

B6sb #2015 Morris Park 21/10/39
Collection: Dave Keller

0-6-0 Class B8 Numbers: 27, 229, 539, 664, 665, 919, 1056, 1105, 1108, 1109, 1152, 1249, 1415, 1504, 2362, 2502, 2504, 2784, 3134, 3243

B8 #1109 LI City 1946
Collection: Dave Keller

4-4-2 Class E3sd Numbers: 186, 917, 955, 1044, 1413, 2985, 2999, 3005, 3148, 3149, 3152, 3154, 3158,4106, 4170, 4176

E3sd #4170 Morris Park 11/03/40
Collection: Dave Keller

4-4-2 Class E6s Numbers: 51, 169, 198, 230, 402, 435, 460, 530, 563, 645, 737, 779, 1179, 1238, 1287, 1321, 1333, 1347, 1351, 1470, 1564, 1600, 1611, 1680, 1694, 5209

E6s #737 Patchogue 1946
Collection: Dave Keller

4-4-2 Class E7s Numbers: 72131, 7315, 7379, 7407, 7482, 7484, 7497, 7601, 7622, 7685, 7766, 8033, 8075, 8482, 8492, 8496, 8498, 8499, 8534, 8587, 8631, 8633, 9713, 9714, 9716, 9719, 9720, 9723, 9818, 9819, 9820

H8sb #693 Mineola 12/27/48
Collection: Dave Keller

2-8-0 Class H9s Numbers: 155, 237, 357, 363, 392, 396, 429, 486, 540, 543, 580, 614, 692, 746, 813, 910, 1084, 1111, 1144,  1265, 1370, 1382, 1421, 1484, 1493, 1495, 1500, 1504, 1508, 1532, 1558, 1559, 1561, 1795, 1797, 1803, 1806, 2090, 2386, 2486, 2824, 2826, 2927, 3217, 3419, 3468, 3470, 3475, 3478, 3493, 3513, 3521, 3522, 3523, 3526, 3527, 3530, 3534, 3539, 3540, 3601, 3602, 3615, 3620, 3685, 4147, 4153, 4180, 5139, 5172, 5264, 5624

PRR H-9s  #1504 2-8-0

PRR H-9s  2-8-0

K2s #1458 Divide Hicksville 1940
Collection: Dave Keller

K2s #1458 Mineola 2/12/37
Collection: Dave Keller

4-6-2 Class K4s Numbers:  269, 383, 389, 518, 719, 803, 920, 958, 1139, 1384, 1395, 1554, 1730, 1737, 1984, 1985, 3655, 3728, 3731, 3734, 3738, 3740, 3741, 3744, 3750, 3751, 3752, 3753, 3754, 3757, 3771, 3805, 3838, 3841, 3843, 3854, 3873, 3880, 3887, 5072, 5238, 5296, 5336, 5348, 5349, 5365, 5375, 5385, 5387, 5389, 5393, 5394, 5395, 5396, 5406, 5407, 5409, 5410, 5411, 5414, 5428, 5432, 5434, 5438, 5455, 7267, 7270, 7275, 7938, 8225, 8378

K4s #5406 Cold Spring Harbor 3/16/47 Collection: Dave Keller

K4s #3741 Queens Village 1950 Collection: Dave Keller

K4s #5406 backing under Montauk branch to access Richmond Hill storage yard. 1950
Collection: Dave Keller

K4s #5409 Montauk Ashpit 1940
Collection: Dave Keller

Special thanks to Dave Keller for providing the text.