Ancestry has an Alexander BLASHFORD, b. 1857, Brockenhurst, living in Brockenhurst as a servant in the household of a J L Popham . Also there is a female 20yo "A Blashford, cook" in the same household.
I think the cook is Amelia Rose, but could be a lass from another branch of the family.
Cornelius and Mary had a "thing" about names beginning with A

1-Cornelius BLACHFORD b. c 1823, Brockenhurst, Hants, d. Q3 1884, (Lymington,
Hants)
+Mary SHEPHARD b. c 1823, Brockenhurst, Hants, m. Q3 1846, Brockenhurst,
Hants, d. Q3 1901, (Lymington, Hants)
|--2-
Albert William BLACHFORD b. Dec 1847, Brockenhurst, Hants, bap. 2 Jan
| 1848, Brockenhurst, Hants
|--2-
Alice Jane BLACHFORD b. May 1849, Brockenhurst, Hants, bap. 27 May 1849,
| Brockenhurst, Hants
|--2-
Agnes Belinda BLACHFORD b. Jan 1851, Brockenhurst, Hants, bap. 12 Jan
| 1851, Brockenhurst, Hants
|--2-
Alfred BLACHFORD b. c 1853, Brockenhurst, Hants
|--2-
Augustus Arthur BLACHFORD b. c 1855, Brockenhurst, Hants
|--2-
Alexander BLACHFORD b. Sep 1856, Brockenhurst, Hants, bap. 28 Sep 1856,
| Brockenhurst, Hants, d. Q3 1930, Lymington, Hants
|--2-
Alvina BLACHFORD b. c 1859, Brockenhurst, Hants
|--2-
Amelia Rose BLACHFORD b. May 1861, Brockenhurst, Hants, bap. 21 May 1861,
| Brockenhurst, Hants
|--2-
Adeline Matilda BLACHFORD b. Jun 1862, Brockenhurst, Hants, bap. 15 Jun
| 1862, Brockenhurst, Hants, d. Q3 1916, (Lymington, Hants)
|--2-
Abner Edwin BLACHFORD b. Dec 1863, Brockenhurst, Hants, bap. 27 Dec 1863,
| Brockenhurst, Hants
|--2-
Angelina BLACHFORD b. c 1863, Brockenhurst, Hants
None of the children appear to have been registered and I've only found some of the baptisms online so far.
Angelina only appears in one census and I think she's probably Adeline who's been mistranscribed by the enumerator.