I just reread Section 898 (NYS firearm private sale and disposal)which was just update in July, there are changes due to take effect next year. Since there is no uniform procedure for interstate transport, I’d still check with the NYSP, safe not sorry. If anything is semi auto it’s a show stopper..You are fine as long as the guns you transport are not in violation of NY stupid SAFE act and yes a Ruger 10/22 with a thumb hole stock is an AW under the SAFE Act. Tube fed 22s are exempt from the 10 round limit. If you want to your mother can give you a letter transfering ownership to you.