Are you sure of your of your facts?
There is one Elizabeth McLaren Wardrop. She was born in Dailly, Ayrshire in '42. No other Elizabeth Wardrop born '41-43 in Scotland.(according to SP which is usually VERY accurate).
You won't get more info online but could order the record for £12 from SP, the link I mentioned.
GROS reference is 585/00 0019
If someone is going to the registry office in Edinburgh, or Park Circus in Glasgow, they might be able to look it up for you.
Ordering the document from SP at £12 could be worth the money. It will tell you a lot of info, particularly, the full names of the parents.
The middle name McLaren would suggest that THIS Elizabeth has an ancester called McLaren - does that surname appear elsewhere in your family?
That's going to take you back to the 1920s approx. From there, with the info you will have, should get you back a fair bit...early 19th century if not more.
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I've had a look on SP for marriages of Elizabeth Wardrop. From 1952 (i took an extreme), there have been 19 in Scotland.
Again, if you can tell us more, we can narrow that down. Do you know your Mum's married name? We could look for deaths too (sorry, but that's a fact). There have been 4 Elizabeth Wardrop deaths in Scotland since '52.... surnames.. Sharp, Braidwood, Frew and Barbour.
What are you hoping to find Julie? Will help if I can but need to know what you are looking for.
Dave