This is the ref: for the 1871 Brione found : RG10. P. 1911 Fol. 27 Pg. 13 
Here are Daniel and William, and possibly John 
1871
RG10. P. 1943 Fol. 20 Pg. 7
Bridge Street, Tilshead
Christopher Payne Head Wid 72 Blacksmith B. Wilts. Tilshead
Daniel Naish Serv. M 33 ~ B. Wilts. Chitterne
Mary Jane Naish Serv. m. 22 B. Wilts. Tilshead
Christopher John Naish Son 7 mth B. ~ ~
John Naish Serv. 19 B. ~ ~
1871
RG10. P. 1936 Fol. 39 Pg. 12
1 Townsend, Chitterne
NAISH
William Head M 29 Carter B. Wilts. Chitterne All saints
Elizabeth Wife M 26 B. ~ Sherrington
Charles Son 3 B. ~ Chitterne All Saints
I think that this William is not the right one - I believe that he married an Emma:
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1881 CENSUS:
RG11/2063/19 p9 Tilshead, Wiltshire
William Nash Head m 35 b Chiltern, Wiltshire Groom
Emma Nash Wife M 36 b Easterton, Wiltshire
Daniel Nash Son 13 b Market Lavington, Wiltshire Labourer Scholar
William Nash Son Male 11 b Tilshead, Wiltshire Labourer Scholar
Kate Nash Daur 10 b Tilshead, Wiltshire Scholar
Ernest Nash Son 9 b Tilshead, Wiltshire, Scholar
Mary Nash Daur 7 b Tilshead, Wiltshire Scholar
Bessie Nash Daur 5 b Tilshead, Wiltshire Scholar
John Nash 4 m b Tilshead, Wiltshire