I thought I would copy out for you what is, presumably, the enumerator's route round district 4. Perhaps it might help someone who knows the area to decide if Laghdoo intack is likely to be close to where your William Quayle was in 1871. Might have been more use if I was confident I'd deciphered all the handwriting correctly!

schedule 1 & 2 Knock Moor
3 Ballacoars?
4 Ballaskirra?
5-7 Ballacogan
8-10 Pool Villas 1-4
11 & 12 Rhaa/Rhee/Bliee?
13-22 Ballacannell
23-33 Ballabeg
34 Lagedoo (Kermode)
35 Lagedoo (Killey & Kermode)
36-46 Ballagawne
47 Vicarage
48-54 Grawe
55-59 Ballacollister
60-62 Second Rhaa?
63 Church Road
64-72 Largey Grawe
73-88 Ben/Ren Cell
89 New Rd, Laxey, Commercial Hotel
90 Belle View, New Rd, Laxey
91 New Rd, Laxey, Temperance Hotel
92-94 New Rd, Laxey
95 New Rd, Laxey, Glen View Cottage
96-102 New Rd, Laxey
103 New Rd, Laxey, New Inn
104-116 New Rd, Laxey
117 South Laxey Hill, Cottage
118-124 South Laxey Hill
125 & 126 South Laxey Hill, Caso? Cottage
127- 141 South Laxey Hill
142 South Laxey Hill: John J Quayle, head, mar, 26, Lead Ore miner, IOM; Isabella, wife, 26, IOM; William H, son, 4 scholar, IOM; John J, son, 2, IOm
143 South Laxey Hill:

RG10/5774 f.82 p.30 (dist 4)
William H Quayle, h, m, 28, Lead ore miner, IOM
Anne, w, m, 27, England
Elizabeth J, d, 5, IOM
Philip, s, 2, IOM
Jessie, d, 9mo, IOM

144 & 145 South Laxey Hill
146 South Laxey Hill, Callows Croft
147 South Laxey Hill
148-156 Hg Rd, Laxey Hill
end of district 4