You will be named as the "contributor" on the tax slips issued, and make the claim on your own return. You will specify that this was a "Spousal Contribution" and nothing will be entered on your wife's tax return.
If the first registered holder of the share is an RRSP for a spouse or common-law partner, the RRSP contributor or the annuitant (recipient) can claim this credit for that share.
From the CRA information found here:
https://www.canada.ca/en/revenue-agency/services/tax/individuals/topics/about-your-tax-return/tax-re...