(I suspect Matilda is one of 'The Smiths'
, from the census she seems to have a sister Annah who marries an Azrey Smith who is in Gosberton in 1881. Similar name to your Azey Smith, but I don't know if there is any connection).
OK, I may have given you a bit of duff information there, in my haste. Looking again at the 1881 the household at Gosberton is headed by a Reuben Smith, whose wife Mary Ann is sister to the Matilda Smith married to Hiram Price. Azrey Smith is brother to Reuben Smith.
The marriages (from Lincolnshire Marriage Indexes 1837+):
Gosberton 25th Dec 1858 Reuben Smith s/o Tenant Smith to Mary Ann Smith d/o Richard Smith
Lutton (Sutton St. Nicholas) 12th Oct 1846 Iram Price s/o Richard Price to Matilda Smith d/o Richard Smith
Baptism (from RomanyGenes website):
Skillington baptism 1828 Matilda d/o Richard and Ann Smith, chair menders
I know I'm going off on a tangent again, but I have a Dennis Smith who marries an Eleanor Charlotte. They had a son whose name seems interchangeable between Dennis and Tennant, and I suspect that Dennis snr is the same. I don't know of a son named Reuben to this couple, but they were having children at the time he was born. Also in this family is the name Fenwick (sometimes Phoenix) and Nehemiah and there are the following burials at Gosberton:
13 Oct 1858 Tenant Smith aged 65
3 Feb 1861 Fenwick Smith infant
19 Mar 1861 Nemehiah Smith aged 25
I have Dennis Smith snr on the 1861 census, and have no idea what happened to him after that. Dennis/Tennant Smith jnr marries into the Elijah Boswell family, which takes us right back to those Smiths.
![Huh ???](https://www.rootschat.com/forum/Smileys/classic/huh.gif)
None of which is helping to find Sarah Beard.