I would just get another bottle of Elmer's - Amazon sell it
https://www.amazon.co.uk/Elmers-E304...rs+school+glue
If you click on "other sellers" and scroll down - there is a "fulfilled by Amazon" seller so it'll get there quicker. Although it does look lie it won't be available until April which isn't much help if you need it now. Maybe someone else will know of an equivalent. I know of a hamster safe wood glue which is very good but not sure if it's suitable for children to use - in terms of getting messy fingers etc.