I have a marriage for Eliza Birt to Richard Trowsdale, 2 Oct 1823 at St Martin Outwich, London. Eliza's place of birth is noted as Canford, Dorset. born approx 1800. I have looked on the IGI and have found several possible births. Thing is I know nothing much about Dorset geography. There are births that look promising in the following which are geographically in the right place, I am favouring Sturminster Marshall since I think it's close to Canford:
Poole Created 1st July 1837. Sub-districts : Canford; Lytchett; Lychett Minster; Poole. GRO volumes : VIII (1837-51); 5a (1852-1930). Branksome, Canford Magna, Hamworthy, Kinson, Longfleet, Lytchett Matravers, Lytchett Minster, Parkstone, Poole. Registers now in Poole district.
I looked on Dorset OPC - http://www.dorset-opc.com/ , found 38 entries for BIRT and 253 for BURT (first name and surname !) and even 28 entries for "eliza birt" but, sadly, no baptism record.
Good luck !
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Searching for Coleman, Moore, Kallnung in London; Margulies, Remenyi in E. Europe; Ancestors of Hessie Stevenson-Coleman-Baxter (Ireland, 1861) and, of course, any other ancestors for my web-site http://boco.rootschat.net
Southern or Southan [Hereford , Monmouthshire & Glos], Jenkins, Meredith and Morgan [Monmouthshire and Glos.], Murrill, Damary, Damry, Ray, Lawrence [all Middx. & London], Nethway from Kenn or Yatton. Also Riley and Lyons in South Africa. Any census information included in this post is Crown Copyright, from www.nationalarchives.gov.uk